{"id":1589,"date":"2020-07-31T20:35:12","date_gmt":"2020-08-01T00:35:12","guid":{"rendered":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/graph-with-intercepts\/"},"modified":"2025-09-15T16:44:43","modified_gmt":"2025-09-15T20:44:43","slug":"graph-with-intercepts","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/graph-with-intercepts\/","title":{"raw":"6.3 Graph with Intercepts","rendered":"6.3 Graph with Intercepts"},"content":{"raw":"[latexpage]\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nBy the end of this section, you will be able to:\n<ul>\n \t<li>Identify the \\(x\\)- and \\(y\\)- intercepts on a graph<\/li>\n \t<li>Find the \\(x\\)- and \\(y\\)- intercepts from an equation of a line<\/li>\n \t<li>Graph a line using the intercepts<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Identify the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- Intercepts on a Graph<\/h1>\n<p id=\"fs-id1169597569695\">Every linear equation can be represented by a unique line that shows all the solutions of the equation. We have seen that when graphing a line by plotting points, you can use any three solutions to graph. This means that two people graphing the line might use different sets of three points.<\/p>\n<p id=\"fs-id1169597691502\">At first glance, their two lines might not appear to be the same, since they would have different points labeled. But if all the work was done correctly, the lines should be exactly the same. One way to recognize that they are indeed the same line is to look at where the line crosses the <em data-effect=\"italics\">x<\/em>- axis and the <em data-effect=\"italics\">y<\/em>- axis. These points are called the <em data-effect=\"italics\">intercepts<\/em> of the line.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Intercepts of a line<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nThe points where a line crosses the <em data-effect=\"italics\">x<\/em>- axis and the <em data-effect=\"italics\">y<\/em>- axis are called the intercepts of a line.\n\n<\/div>\n<\/div>\n<p id=\"fs-id1169595250168\">Let\u2019s look at the graphs of the lines in <a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_04_03_001\">(Figure 1)<\/a>.<\/p>\nExamples of graphs crossing the x-negative axis.\n<div id=\"CNX_ElemAlg_Figure_04_03_001\" class=\"bc-figure figure\">\n\n[caption id=\"\" align=\"aligncenter\" width=\"648\"]<img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2020\/07\/CNX_ElemAlg_Figure_04_03_001_img_new.jpg\" alt=\"Four figures, each showing a different straight line on the x y- coordinate plane. The x- axis of the planes runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Figure a shows a straight line crossing the x- axis at the point (3, 0) and crossing the y- axis at the point (0, 6). The graph is labeled with the equation 2x plus y equals 6. Figure b shows a straight line crossing the x- axis at the point (4, 0) and crossing the y- axis at the point (0, negative 3). The graph is labeled with the equation 3x minus 4y equals 12. Figure c shows a straight line crossing the x- axis at the point (5, 0) and crossing the y- axis at the point (0, negative 5). The graph is labeled with the equation x minus y equals 5. Figure d shows a straight line crossing the x- axis and y- axis at the point (0, 0). The graph is labeled with the equation y equals negative 2x.\" width=\"648\" height=\"749\" data-media-type=\"image\/jpeg\"> Figure .1[\/caption]\n\n<\/div>\n<p id=\"fs-id1169597531782\">First, notice where each of these lines crosses the \\(x\\) negative axis. See <a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_04_03_001\">(Figure 1)<\/a>.<\/p>\n\n<table id=\"fs-id1169595220246\" class=\"grid aligncenter\" summary=\"This table has five rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cFigure\u201d, the second is &quot;The line crosses the x- axis at:&quot;, and the third is &quot;Ordered pair of this point&quot;. Under the first column, are the figures 04_03_001a, 04_03_001b, 04_03_001c, and 04_03_001d. Under the column &quot;The line crosses the x- axis at:&quot; are the values: 3, 4, 5, and 0. Under the column &quot;Ordered pair of this point&quot; are the ordered pairs: (3, 0), (4, 0), (5, 0), and (0, 0).\">\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\"><strong data-effect=\"bold\">Figure<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">The line crosses the <em data-effect=\"italics\">x<\/em>- axis at:<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">Ordered pair of this point<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (a)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(3,0\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (b)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">4<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(4,0\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (c)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">5<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(5,0\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (d)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(0,0\\right)\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597389682\">Do you see a pattern?<\/p>\n<p id=\"fs-id1169595150208\">For each row, the <em data-effect=\"italics\">y<\/em>- coordinate of the point where the line crosses the <em data-effect=\"italics\">x<\/em>- axis is zero. The point where the line crosses the <em data-effect=\"italics\">x<\/em>- axis has the form \\(\\left(a,0\\right)\\) and is called the <em data-effect=\"italics\">x<\/em>- intercept of a line. The <em data-effect=\"italics\">x<\/em>- intercept occurs when \\(y\\) is zero.<\/p>\n<p id=\"fs-id1169597538680\">Now, let\u2019s look at the points where these lines cross the <em data-effect=\"italics\">y<\/em>- axis. See the table below.<\/p>\n\n<table id=\"fs-id1169597430919\" class=\"grid aligncenter\" summary=\"This table has five rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cFigure\u201d, the second is &quot;The line crosses the y- axis at:&quot;, and the third is &quot;Ordered pair of this point&quot;. Under the first column, are the figures 04_03_001a, 04_03_001b, 04_03_001c, and 04_03_001d. Under the column &quot;The line crosses the x- axis at:&quot; are the values: 6, negative 3, negative 5, and 0. Under the column &quot;Ordered pair of this point&quot; are the ordered pairs: (0, 6), (0, negative 3), (0, 5), and (0, 0).\">\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">Figure<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">The line crosses the <em data-effect=\"italics\">y<\/em>-axis at:<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">Ordered pair for this point<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (a)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">6<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(0,6\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (b)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(-3\\)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(0,-3\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (c)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(-5\\)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(0,5\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (d)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(0,0\\right)\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597808523\">What is the pattern here?<\/p>\n<p id=\"fs-id1169597354976\">In each row, the <em data-effect=\"italics\">x<\/em>- coordinate of the point where the line crosses the <em data-effect=\"italics\">y<\/em>- axis is zero. The point where the line crosses the <em data-effect=\"italics\">y<\/em>- axis has the form \\(\\left(0,b\\right)\\) and is called the <em data-effect=\"italics\">y- intercept<\/em> of the line. The <em data-effect=\"italics\">y<\/em>- intercept occurs when \\(x\\) is zero.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\"><em data-effect=\"italics\">x<\/em>- intercept and <em data-effect=\"italics\">y<\/em>- intercept of a line<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1172187709495\">The <em data-effect=\"italics\">x<\/em>- intercept is the point \\(\\left(a,0\\right)\\) where the line crosses the <em data-effect=\"italics\">x<\/em>- axis.<\/p>\n<p id=\"fs-id1172187678221\">The <em data-effect=\"italics\">y<\/em>- intercept is the point \\(\\left(0,b\\right)\\) where the line crosses the <em data-effect=\"italics\">y<\/em>- axis.<\/p>\n<span id=\"fs-id1168461242387\" data-type=\"media\" data-alt=\"No Alt Text\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_022_img_new.jpg\" alt=\"No Alt Text\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<\/div>\n<div id=\"fs-id1169597415571\" data-type=\"note\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597503807\" data-type=\"problem\">\n<p id=\"fs-id1169597527007\">Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts on each graph.<\/p>\n<span id=\"fs-id1169597824427\" data-type=\"media\" data-alt=\"Three figures, each showing a different straight line on the x y- coordinate plane. The x- axis of the planes runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Figure a shows a straight line going through the points (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), and (6, negative 1). Figure b shows a straight line going through the points (0, negative 6), (1, negative 3), (2, 0), (3, 3), and (4, 6). Figure c shows a straight line going through the points (negative 6, 1), (negative 5, 0), (negative 4, negative 1), (negative 3, negative 2), (negative 2, negative 3), (negative 1, negative 4), (0, negative 5), and (1, negative 6).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_002_img_new.jpg\" alt=\"Three figures, each showing a different straight line on the x y- coordinate plane. The x- axis of the planes runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Figure a shows a straight line going through the points (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), and (6, negative 1). Figure b shows a straight line going through the points (0, negative 6), (1, negative 3), (2, 0), (3, 3), and (4, 6). Figure c shows a straight line going through the points (negative 6, 1), (negative 5, 0), (negative 4, negative 1), (negative 3, negative 2), (negative 2, negative 3), (negative 1, negative 4), (0, negative 5), and (1, negative 6).\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<div id=\"fs-id1169597698554\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<ol id=\"fs-id1169597689590\" class=\"circled\" type=\"a\">\n \t<li>The graph crosses the <em data-effect=\"italics\">x<\/em>- axis at the point \\(\\left(4,0\\right)\\). The <em data-effect=\"italics\">x<\/em>- intercept is \\(\\left(4,0\\right)\\).\nThe graph crosses the <em data-effect=\"italics\">y<\/em>- axis at the point \\(\\left(0,2\\right)\\). The <em data-effect=\"italics\">y<\/em>- intercept is \\(\\left(0,2\\right)\\).<\/li>\n \t<li>The graph crosses the <em data-effect=\"italics\">x<\/em>- axis at the point \\(\\left(2,0\\right)\\). The <em data-effect=\"italics\">x<\/em>- intercept is \\(\\left(2,0\\right)\\)\nThe graph crosses the <em data-effect=\"italics\">y<\/em>- axis at the point \\(\\left(0,-6\\right)\\). The <em data-effect=\"italics\">y<\/em>- intercept is \\(\\left(0,-6\\right)\\).<\/li>\n \t<li>The graph crosses the <em data-effect=\"italics\">x<\/em>- axis at the point \\(\\left(-5,0\\right)\\). The <em data-effect=\"italics\">x<\/em>- intercept is \\(\\left(-5,0\\right)\\).\nThe graph crosses the <em data-effect=\"italics\">y<\/em>- axis at the point \\(\\left(0,-5\\right)\\). The <em data-effect=\"italics\">y<\/em>- intercept is \\(\\left(0,-5\\right)\\).<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597380989\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1169597479509\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597692014\" data-type=\"exercise\">\n<div id=\"fs-id1169597332884\" data-type=\"problem\">\n<p id=\"fs-id1169597414455\">Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts on the graph.<\/p>\n<span id=\"fs-id1169597500677\" data-type=\"media\" data-alt=\"A figure showing a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 8, negative 10), (negative 6, negative 8), (negative 4, negative 6), (negative 2, negative 4), (0, negative 2), (2, 0), (4, 2), (6, 4), (8, 6), and (10, 8).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_003_img_new.jpg\" alt=\"Graph of the equation y = x \u2212 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, \u22122)\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<div id=\"fs-id1169597488664\" data-type=\"solution\"><details><summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597383472\"><em data-effect=\"italics\">x<\/em>- intercept: \\(\\left(2,0\\right)\\); <em data-effect=\"italics\">y<\/em>- intercept: \\(\\left(0,-2\\right)\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597455595\" data-type=\"problem\">\n<p id=\"fs-id1169597690286\">Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts on the graph.<\/p>\n<span id=\"fs-id1169597693230\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 9, 8), (negative 6, 6), (negative 3, 4), (0, 2), (3, 0), (6, negative 2), and (9, negative 4).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_004_img_new.jpg\" alt=\"Graph of the equation y = \u2212 2 thirds x + 2 and the x-intercept is the point (3, 0) and the y-intercept is the point (0, 2).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<div id=\"fs-id1169597464625\" data-type=\"solution\"><details><summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169595353763\"><em data-effect=\"italics\">x<\/em>- intercept: \\(\\left(3,0\\right)\\), <em data-effect=\"italics\">y<\/em>- intercept: \\(\\left(0,2\\right)\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Find the <em>x<\/em>- and <em>y<\/em>- Intercepts from an Equation of a Line<\/h1>\n<p id=\"fs-id1169597824362\">Recognizing that the <span class=\"no-emphasis\" data-type=\"term\"><em data-effect=\"italics\">x<\/em>- intercept<\/span> occurs when <em data-effect=\"italics\">y<\/em> is zero and that the <em data-effect=\"italics\">y<\/em>- intercept occurs when <em data-effect=\"italics\">x<\/em> is zero, gives us a method to find the intercepts of a line from its equation. To find the <em data-effect=\"italics\">x<\/em>- intercept, let \\(y=0\\) and solve for <em data-effect=\"italics\">x<\/em>. To find the <span class=\"no-emphasis\" data-type=\"term\"><em data-effect=\"italics\">y<\/em>- intercept<\/span>, let \\(x=0\\) and solve for <em data-effect=\"italics\">y<\/em>.<\/p>\n\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts from the equation of a line<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1169597536561\">Use the equation of the line. To find:<\/p>\n\n<ul id=\"fs-id1169597804239\" data-bullet-style=\"bullet\">\n \t<li>the <em data-effect=\"italics\">x<\/em>- intercept of the line, let \\(y=0\\) and solve for \\(x\\).<\/li>\n \t<li>the <em data-effect=\"italics\">y<\/em>- intercept of the line, let \\(x=0\\) and solve for \\(y\\).<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595219138\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595219142\" data-type=\"exercise\">\n<div id=\"fs-id1169597681434\" data-type=\"problem\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597392586\" data-type=\"problem\">\n<p id=\"fs-id1169595251958\">Find the intercepts of \\(2x+y=6\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1169595217650\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1169597618730\">We will let \\(y=0\\) to find the <em data-effect=\"italics\">x<\/em>- intercept, and let \\(x=0\\) to find the <em data-effect=\"italics\">y<\/em>- intercept. We will fill in the table, which reminds us of what we need to find.<\/p>\n<span id=\"fs-id1169595361899\" data-type=\"media\" data-alt=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 2 x plus y equals 6. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. The third row is labeled \u201cx- intercept\u201d and has the first column blank and a 0 in the second column. The fourth row is labeled \u201cy- intercept\u201d and has a 0 in the first column with the second column blank.\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_016_img_new.jpg\" alt=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 2 x plus y equals 6. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. The third row is labeled \u201cx- intercept\u201d and has the first column blank and a 0 in the second column. The fourth row is labeled \u201cy- intercept\u201d and has a 0 in the first column with the second column blank.\" data-media-type=\"image\/jpeg\"><\/span>\n<p id=\"fs-id1169597365768\">To find the <em data-effect=\"italics\">x<\/em>- intercept, let \\(y=0\\).<\/p>\n\n<table id=\"eip-id1172181403176\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172188189346\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">y<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172184888733\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172187818799\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172188007524\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">x<\/em>-intercept is<\/td>\n<td data-align=\"right\">(3, 0)<\/td>\n<\/tr>\n<tr>\n<td>To find the <em data-effect=\"italics\">y<\/em>-intercept, let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172178742531\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172187818588\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017f_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172184511558\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017g_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172188081302\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017h_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">y<\/em>-intercept is<\/td>\n<td data-align=\"right\">(0, 6)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597837649\">The intercepts are the points \\(\\left(3,0\\right)\\) and \\(\\left(0,6\\right)\\) as shown in the following table.<\/p>\n\n<table id=\"fs-id1169595144560\" class=\"grid\" summary=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 2x plus y equals 6. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. Under the first column are the numbers 3 and 0. Under the second column are the numbers 0 and 6.\">\n<tbody>\n<tr valign=\"top\">\n<td style=\"text-align: center;\" colspan=\"2\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(2x+y=6\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(x\\)<\/strong><\/td>\n<td data-valign=\"bottom\" data-align=\"center\"><strong data-effect=\"bold\">\\(y\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY 2.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595219138\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595219142\" data-type=\"exercise\">\n<div id=\"fs-id1169597681434\" data-type=\"problem\">\n<p id=\"fs-id1169597681436\">Find the intercepts of \\(3x+y=12\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1169597524924\" data-type=\"solution\"><details><summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597517821\"><em data-effect=\"italics\">x<\/em>- intercept: \\(\\left(4,0\\right)\\), <em data-effect=\"italics\">y<\/em>- intercept: \\(\\left(0,12\\right)\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174167\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595174170\" data-type=\"exercise\">\n<div id=\"fs-id1169597826468\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595174167\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595174170\" data-type=\"exercise\">\n<div id=\"fs-id1169597826468\" data-type=\"problem\">\n<p id=\"fs-id1169597826470\">Find the intercepts of \\(x+4y=8\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1169597704352\" data-type=\"solution\"><details><summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597704355\"><em data-effect=\"italics\">x<\/em>- intercept: \\(\\left(8,0\\right)\\), <em data-effect=\"italics\">y<\/em>- intercept: \\(\\left(0,2\\right)\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174167\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595174170\" data-type=\"exercise\">\n<div id=\"fs-id1169597704352\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595318019\" data-type=\"problem\">\n<p id=\"fs-id1169595149121\">Find the intercepts of \\(4x\u20133y=12\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1169595227896\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1172178264704\" class=\"unnumbered unstyled\" summary=\"The figure shows a series of statements and equations showing how to determine the intercepts from the two- variable equation 4x minus 3y equals 12: 4x minus 3y equals 12, \u201cLet y equals 0\u201d, 4x minus 3(0) equals 12 (where the 0 is red), \u201cSimplify\u201d, 4x minus 0 equals 12, 4x equals 12, x equals 3, \u201cThe x- intercept is (3, 0)\u201d, \u201cTo find the y- intercept, let x equals 0\u201d, 4x minus 3y equals 12, \u201cLet x equals 0\u201d, 4(0) minus 3y equals 12 (where the 0 is red), \u201cSimplify\u201d, 0 minus 3y equals 12, negative 3y equals 12, y equals negative 4, and \u201cThe y- intercept is (0, negative 4)\u201d.\" data-label=\"\">\n<tbody>\n<tr>\n<td>To find the <em data-effect=\"italics\">x<\/em>-intercept, let <em data-effect=\"italics\">y<\/em> = 0.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172184486604\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">y<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172183606128\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172183579846\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172187761771\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172183514822\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">x<\/em>-intercept is<\/td>\n<td data-align=\"right\">(3, 0)<\/td>\n<\/tr>\n<tr>\n<td>To find the <em data-effect=\"italics\">y<\/em>-intercept, let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172187839155\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018f_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172183489708\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018g_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172187986646\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018h_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172184378234\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018i_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172184581454\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018j_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\"><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">y<\/em>-intercept is<\/td>\n<td data-align=\"right\">(0, \u22124)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1168463991914\">The intercepts are the points (3, 0) and (0, \u22124) as shown in the following table.<\/p>\n\n<table id=\"fs-id1169595254954\" class=\"grid\" summary=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 4x minus 3y equals 12. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. Under the first column are the numbers 3 and 0. Under the second column are the numbers 0 and negative 4.\" data-label=\"\">\n<tbody>\n<tr valign=\"top\">\n<td colspan=\"2\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(4x-3y=12\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(x\\)<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(y\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(-4\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597531780\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597753051\" data-type=\"exercise\">\n<div id=\"fs-id1169597753053\" data-type=\"problem\">\n<p id=\"fs-id1169597753055\">Find the intercepts of \\(3x\u20134y=12\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1169597518129\" data-type=\"solution\"><details><summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597518131\"><em data-effect=\"italics\">x<\/em>- intercept: \\(\\left(4,0\\right)\\), <em data-effect=\"italics\">y<\/em>- intercept: \\(\\left(0,-3\\right)\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597531780\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597753051\" data-type=\"exercise\">\n<div id=\"fs-id1169597753053\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595254775\" data-type=\"problem\">\n<p id=\"fs-id1169595254777\">Find the intercepts of \\(2x\u20134y=8\\).<\/p>\n\n<\/div>\n<div id=\"fs-id1169597555848\" data-type=\"solution\"><details><summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597555851\"><em data-effect=\"italics\">x<\/em>- intercept: \\(\\left(4,0\\right)\\), <em data-effect=\"italics\">y<\/em>- intercept: \\(\\left(0,-2\\right)\\)<\/p>\n\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Graph a Line Using the Intercepts<\/h1>\n<p id=\"fs-id1169597689214\">To graph a linear equation by plotting points, you need to find three points whose coordinates are solutions to the equation. You can use the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts as two of your three points. Find the intercepts, and then find a third point to ensure accuracy. Make sure the points line up\u2014then draw the line. This method is often the quickest way to graph a line.<\/p>\n\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"title\">How to Graph a Line Using Intercepts<\/div>\n<div id=\"fs-id1169597574772\" data-type=\"exercise\">\n<div id=\"fs-id1169595217493\" data-type=\"problem\">\n<p id=\"fs-id1169595217499\">Graph \\(\u2013x+2y=6\\) using the intercepts.<\/p>\n\n<\/div>\n<div id=\"fs-id1169597514092\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<span id=\"fs-id1169597514097\" data-type=\"media\" data-alt=\"The figure shows a table with the general procedure for graphing a line using the intercepts along with a specific example using the equation negative x plus 2y equals 6. Step 1 of the general procedure is \u201cFind the x and y- intercepts of the line. Let y equals 0 and solve for x. Let x equals 0 and solve for y\u201d. Step 1 for the example is a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, negative x plus 2y equals 6, negative x plus 2(0) equals 6 (where the 0 is red), negative x equals 6, x equals negative 6, \u201cThe x- intercept is (negative 6, 0)\u201d, \u201cFind the y- intercept. Let x equals 0\u201d, negative x plus 2y equals 6, negative 0 plus 2y equals 6 (where the 0 is red), 2y equals 6, y equals 3, and \u201cThe y- intercept is (0, 3)\u201d.\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019a_img_new.jpg\" alt=\"The figure shows a table with the general procedure for graphing a line using the intercepts along with a specific example using the equation negative x plus 2y equals 6. Step 1 of the general procedure is \u201cFind the x and y- intercepts of the line. Let y equals 0 and solve for x. Let x equals 0 and solve for y\u201d. Step 1 for the example is a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, negative x plus 2y equals 6, negative x plus 2(0) equals 6 (where the 0 is red), negative x equals 6, x equals negative 6, \u201cThe x- intercept is (negative 6, 0)\u201d, \u201cFind the y- intercept. Let x equals 0\u201d, negative x plus 2y equals 6, negative 0 plus 2y equals 6 (where the 0 is red), 2y equals 6, y equals 3, and \u201cThe y- intercept is (0, 3)\u201d.\" data-media-type=\"image\/jpeg\"><\/span><span id=\"fs-id1169597697632\" data-type=\"media\" data-alt=\"Step 2 of the general procedure is \u201cFind another solution to the equation.\u201d Step 2 for the example is a series of statements and equations: \u201cWe\u2019ll use x equals 2\u201d, \u201cLet x equals 2\u201d, negative x plus 2y equals 6, negative 2 plus 2y equals 6 (where the first 2 is red), 2y equals 8, y equals 4, and \u201cA third point is (2, 4)\u201d. Step 3 of the general procedure is \u201cPlot the three points. Check that the points line up.\u201d\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019b_img_new.jpg\" alt=\"Step 2 of the general procedure is \u201cFind another solution to the equation.\u201d Step 2 for the example is a series of statements and equations: \u201cWe\u2019ll use x equals 2\u201d, \u201cLet x equals 2\u201d, negative x plus 2y equals 6, negative 2 plus 2y equals 6 (where the first 2 is red), 2y equals 8, y equals 4, and \u201cA third point is (2, 4)\u201d. Step 3 of the general procedure is \u201cPlot the three points. Check that the points line up.\u201d\" data-media-type=\"image\/jpeg\"><\/span><span id=\"fs-id1169597824873\" data-type=\"media\" data-alt=\"Step 3 for the example is a table and a graph. The table has four rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x,y)\u201d. Under the first column are the numbers negative 6, 0 and 2. Under the second column are the numbers 0, 3, and 4. Under the third column are the ordered pairs (negative 6, 0), (0, 3), and (2, 4). The graph has three points on the x- y coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019c_img_new.jpg\" alt=\"Step 3 for the example is a table and a graph. The table has four rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x,y)\u201d. Under the first column are the numbers negative 6, 0 and 2. Under the second column are the numbers 0, 3, and 4. Under the third column are the ordered pairs (negative 6, 0), (0, 3), and (2, 4). The graph has three points on the x- y coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4).\" data-media-type=\"image\/jpeg\"><\/span><span id=\"fs-id1169597697630\" data-type=\"media\" data-alt=\"Step 4 of the general procedure is \u201cDraw the line.\u201d For the specific example, there is the statement \u201cSee the graph\u201d and a graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4). The straight line is drawn through the points (negative 6, 0), (negative 4, 1), (negative 2, 2), (0, 3), (2, 4), (4, 5), and (6, 6).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019d_img_new.jpg\" alt=\"Step 4 of the general procedure is \u201cDraw the line.\u201d For the specific example, there is the statement \u201cSee the graph\u201d and a graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4). The straight line is drawn through the points (negative 6, 0), (negative 4, 1), (negative 2, 2), (0, 3), (2, 4), (4, 5), and (6, 6).\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595665016\" data-type=\"problem\">\n<p id=\"fs-id1169595665019\">Graph \\(x\u20132y=4\\) using the intercepts.<\/p>\n\n<\/div>\n<details><summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169596534537\" data-type=\"solution\"><\/div>\n<div id=\"fs-id1169597784149\" data-type=\"solution\"><span id=\"fs-id1169597784152\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, negative 7), (negative 8, negative 6), (negative 6, negative 5), (negative 4, negative 4), (negative 2, negative 3), (0, negative 2), (2, negative 1), (4, 0), (6, 1), (8, 2), and (10, 3).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_007_img_new.jpg\" alt=\"Graph of the equation x \u2212 2y = 4. The x-intercept is the point (4, 0) and the y-intercept is the point (0, \u22122).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/details><\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597516246\" data-type=\"problem\">\n<p id=\"fs-id1169595107963\">Graph \\(\u2013x+3y=6\\) using the intercepts.<\/p>\n\n<\/div>\n<details><summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169596534537\" data-type=\"solution\"><\/div>\n<div id=\"fs-id1169595155819\" data-type=\"solution\"><span id=\"fs-id1169595342836\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 12, negative 2), (negative 9, negative 1), (negative 6, 0), (negative 3, 1), (0, 2), (3, 3), (6, 4), (9, 5), and (12, 6).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_008_img_new.jpg\" alt=\"Graph of the equation \u2212x + 3y = 6. The x-intercept is the point (\u22126, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/details><\/div>\n<\/div>\n<div id=\"fs-id1169597516241\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597516244\" data-type=\"exercise\">\n<div data-type=\"solution\">\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Graph a linear equation using the intercepts<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1169597577036\">The steps to graph a linear equation using the intercepts are summarized below.<\/p>\n\n<div id=\"fs-id1169597577088\" class=\"howto\" data-type=\"note\">\n<div data-type=\"title\"><\/div>\n<ol id=\"fs-id1169597577094\" class=\"stepwise\" type=\"1\">\n \t<li>Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts of the line.\n<ul id=\"fs-id1169595223927\" data-bullet-style=\"open-circle\">\n \t<li>Let \\(y=0\\) and solve for \\(x\\)<\/li>\n \t<li>Let \\(x=0\\) and solve for \\(y\\).<\/li>\n<\/ul>\n<\/li>\n \t<li>Find a third solution to the equation.<\/li>\n \t<li>Plot the three points and check that they line up.<\/li>\n \t<li>Draw the line.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595275002\" data-type=\"problem\">\n<p id=\"fs-id1169595275004\">Graph \\(4x\u20133y=12\\) using the intercepts.<\/p>\n\n<\/div>\n<div id=\"fs-id1169595155548\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1169597703812\">Find the intercepts and a third point.<\/p>\n<span id=\"fs-id1169597703816\" data-type=\"media\" data-alt=\"The figure shows a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, 4x minus 3y equals 12, 4x minus 3(0) equals 12 (where the 0 is red), 4x equals 12, x equals 3, \u201cFind the y- intercept. Let x equals 0\u201d, 4x minus 3y equals 12, 4(0) minus 3y equals 12 (where the 0 is red), negative 3y equals 12, y equals negative 4, \u201cthird point, let y equals 4\u201d, 4x minus 3y equals 12, 4x minus 3(4) equals 12 (where the second 4 is red), 4x minus 12 equals 12, 4x equals 24, and x equals 6.\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_009_img_new.jpg\" alt=\"The figure shows a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, 4x minus 3y equals 12, 4x minus 3(0) equals 12 (where the 0 is red), 4x equals 12, x equals 3, \u201cFind the y- intercept. Let x equals 0\u201d, 4x minus 3y equals 12, 4(0) minus 3y equals 12 (where the 0 is red), negative 3y equals 12, y equals negative 4, \u201cthird point, let y equals 4\u201d, 4x minus 3y equals 12, 4x minus 3(4) equals 12 (where the second 4 is red), 4x minus 12 equals 12, 4x equals 24, and x equals 6.\" data-media-type=\"image\/jpeg\"><\/span>\n<p id=\"fs-id1169595197648\">We list the points in following table and show the graph below.<\/p>\n\n<table id=\"fs-id1169595344204\" style=\"height: 106px;\" summary=\"The figure shows a table with five rows and three columns. The first row is a title row and it labels the table with the equation 4x minus 3y equals 12. The second row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x, y)\u201d. Under the first column are the numbers 3, 0, and 6. Under the second column are the numbers 0, negative 4, and 4. Under the third column are the ordered pairs (3, 0), (0, negative 4), and (6, 4).\" width=\"674\">\n<tbody>\n<tr valign=\"top\">\n<td style=\"width: 658.406px;\" colspan=\"3\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(4x-3y=12\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(x\\)<\/strong><\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(y\\)<\/strong><\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(\\left(x,y\\right)\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\">\\(\\left(3,0\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\">\\(-4\\)<\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\">\\(\\left(0,-4\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\">6<\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\">4<\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\">\\(\\left(6,4\\right)\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<span id=\"fs-id1169597878414\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (0, negative 4), (3, 0), and (6, 4). The straight line is drawn through the points (0, negative 4), (3, 0), and (6, 4).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_010_img_new.jpg\" alt=\"The points listed on the previous table are plotted. The equation graphed is 4x \u2212 3y = 12.\" width=\"317\" height=\"323\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-type=\"solution\">\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595138791\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595138794\" data-type=\"exercise\">\n<div id=\"fs-id1169597870668\" data-type=\"problem\">\n<p id=\"fs-id1169597870670\">Graph \\(5x\u20132y=10\\) using the intercepts.<\/p>\n\n<\/div>\n<details open=\"open\"><summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169595256271\" data-type=\"solution\"><span id=\"fs-id1169595256274\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (0, negative 5), (2, 0), and (4, 5).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_011_img_new.jpg\" alt=\"Graph of the equation 5x \u2212 2y = 10.\" width=\"228\" height=\"234\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/details><\/div>\n<\/div>\n<div id=\"fs-id1169595174528\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595123360\" data-type=\"exercise\">\n<div id=\"fs-id1169595123362\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1169597693074\" data-type=\"solution\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595123362\" data-type=\"problem\">\n<p id=\"fs-id1169595123364\">Graph \\(3x\u20134y=12\\) using the intercepts.<\/p>\n\n<\/div>\n<details open=\"open\"><summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169597693074\" data-type=\"solution\"><span id=\"fs-id1169597693077\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 4, negative 6), (0, negative 3), and (4, 0).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_012_img_new.jpg\" alt=\"Graph of the equation 3x \u2212 4y = 12.\" width=\"228\" height=\"234\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/details><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174528\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595123360\" data-type=\"exercise\">\n<div id=\"fs-id1169597693074\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595363896\" data-type=\"problem\">\n<p id=\"fs-id1169595363898\">Graph \\(y=5x\\) using the intercepts.<\/p>\n\n<\/div>\n<div id=\"fs-id1169597817464\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<span id=\"fs-id1169597817470\" data-type=\"media\" data-alt=\"The figure shows two sets of statements and equations to find the intercepts from an equation. The first set of statements and equations is \u201cx- intercept\u201d, \u201clet y equals 0\u201d, y equals 5x, 0 equals 5x (where the 0 is red), 0 equals x, (0, 0). The second set of statements and equations is \u201cy- intercept\u201d, \u201clet x equals 0\u201d, y equals 5x, y equals 5(0) (where the 0 is red), y equals 0, (0, 0).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_020_img_new.jpg\" alt=\"The figure shows two sets of statements and equations to find the intercepts from an equation. The first set of statements and equations is \u201cx- intercept\u201d, \u201clet y equals 0\u201d, y equals 5x, 0 equals 5x (where the 0 is red), 0 equals x, (0, 0). The second set of statements and equations is \u201cy- intercept\u201d, \u201clet x equals 0\u201d, y equals 5x, y equals 5(0) (where the 0 is red), y equals 0, (0, 0).\" data-media-type=\"image\/jpeg\"><\/span>\n<p id=\"fs-id1169597784798\">This line has only one intercept. It is the point \\(\\left(0,0\\right)\\).<\/p>\n<p id=\"fs-id1169595313199\">To ensure accuracy we need to plot three points. Since the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts are the same point, we need <em data-effect=\"italics\">two<\/em> more points to graph the line.<\/p>\n<span id=\"fs-id1169597817907\" data-type=\"media\" data-alt=\"The figure shows two sets of statements and equations to find two points from an equation. The first set of statements and equations is \u201cLet x equals 1\u201d, y equals 5x, y equals 5(1) (where the 1 is red), y equals 5. The second set of statements and equations is \u201cLet x equals negative 1\u201d, y equals 5x, y equals 5(negative 1) (where the negative 1 is red), y equals negative 5.\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_021_img_new.jpg\" alt=\"The figure shows two sets of statements and equations to find two points from an equation. The first set of statements and equations is \u201cLet x equals 1\u201d, y equals 5x, y equals 5(1) (where the 1 is red), y equals 5. The second set of statements and equations is \u201cLet x equals negative 1\u201d, y equals 5x, y equals 5(negative 1) (where the negative 1 is red), y equals negative 5.\" data-media-type=\"image\/jpeg\"><\/span>\n<p id=\"fs-id1169595353797\">See following table..<\/p>\n\n<table id=\"fs-id1169597701111\" class=\"grid\" summary=\"The figure shows a table with five rows and three columns. The first row is a title row and it labels the table with the equation y equals 5x. The second row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x, y)\u201d. Under the first column are the numbers 0, 1, and negative 1. Under the second column are the numbers 0, 5, and negative 5. Under the third column are the ordered pairs (0, 0), (1, 5), and (negative 1, negative 5).\">\n<tbody>\n<tr valign=\"top\">\n<td style=\"text-align: center;\" colspan=\"3\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(y=5x\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(x\\)<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(y\\)<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">\\(\\left(x,y\\right)\\)<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(0,0\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">1<\/td>\n<td data-valign=\"middle\" data-align=\"center\">5<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(1,5\\right)\\)<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">\\(-1\\)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(-5\\)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">\\(\\left(-1,-5\\right)\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597805667\">Plot the three points, check that they line up, and draw the line.<\/p>\n<span id=\"fs-id1169597805670\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. Three points are marked and labeled with their coordinates at (negative 1, negative 5), (0, 0), and (1, 5). The straight line is drawn through the points (negative 1, negative 5), (0, 0), and (1, 5).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_013_img_new.jpg\" alt=\"The points from the previous table are plotted and labeled. The equation graphed is y = 5x.\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span>\n\n<\/div>\n<\/div>\n<\/div>\n&nbsp;\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595156267\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597686948\" data-type=\"exercise\">\n<div id=\"fs-id1169597686950\" data-type=\"problem\">\n<p id=\"fs-id1169597686952\">Graph \\(y=4x\\) using the intercepts.<\/p>\n\n<\/div>\n<details open=\"open\"><summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169597722132\" data-type=\"solution\"><span id=\"fs-id1169597722135\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 4, negative 12), (negative 3, negative 9), (negative 2, negative 6), (negative 1, negative 3), (0, 0), (1, 3), (2, 6), (3, 9), and (4, 12).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_014_img_new.jpg\" alt=\"Graph of the equation y = 4x.\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/details><\/div>\n<\/div>\n<div id=\"fs-id1169595223602\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595156996\" data-type=\"exercise\">\n<div id=\"fs-id1169595156998\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1169595258861\" data-type=\"solution\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595156998\" data-type=\"problem\">\n<p id=\"fs-id1169595157000\">Graph \\(y=-x\\) the intercepts.<\/p>\n\n<\/div>\n<details open=\"open\"><summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169595258861\" data-type=\"solution\"><span id=\"fs-id1169595258864\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, 10), (negative 9, 9), (negative 8, 8), (negative 7, 7), (negative 6, 6), (negative 5, 5), (negative 4, 4), (negative 3, 3), (negative 2, 2), (negative 1, 1), (0, 0), (1, negative 1), (2, negative 2), (3, negative 3), (4, negative 4), (5, negative 5), (6, negative 6), (7, negative 7), (8, negative 8), (9, negative 9), and (10, negative 10).\"><img class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_015_img_new.jpg\" alt=\"Graph of the equation y = \u2212x.\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/details><\/div>\n<\/div>\n&nbsp;\n\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Key Concepts<\/h1>\n<ul id=\"fs-id1169595119485\" data-bullet-style=\"bullet\">\n \t<li><strong data-effect=\"bold\">Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- Intercepts from the Equation of a Line<\/strong>\n<ul id=\"fs-id1169597603891\" data-bullet-style=\"open-circle\">\n \t<li>Use the equation of the line to find the <em data-effect=\"italics\">x<\/em>- intercept of the line, let \\(y=0\\) and solve for <em data-effect=\"italics\">x<\/em>.<\/li>\n \t<li>Use the equation of the line to find the <em data-effect=\"italics\">y<\/em>- intercept of the line, let \\(x=0\\) and solve for <em data-effect=\"italics\">y<\/em>.<\/li>\n<\/ul>\n<\/li>\n \t<li><strong data-effect=\"bold\">Graph a Linear Equation using the Intercepts<\/strong>\n<ol id=\"fs-id1169595354189\" class=\"stepwise\" type=\"1\">\n \t<li>Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts of the line.\nLet \\(y=0\\) and solve for <em data-effect=\"italics\">x<\/em>.\nLet \\(x=0\\) and solve for <em data-effect=\"italics\">y<\/em>.<\/li>\n \t<li>Find a third solution to the equation.<\/li>\n \t<li>Plot the three points and then check that they line up.<\/li>\n \t<li>Draw the line.<\/li>\n<\/ol>\n<\/li>\n \t<li><strong data-effect=\"bold\">Strategy for Choosing the Most Convenient Method to Graph a Line:<\/strong>\n<ul id=\"fs-id1169595362261\" data-bullet-style=\"open-circle\">\n \t<li>Consider the form of the equation.<\/li>\n \t<li>If it only has one variable, it is a vertical or horizontal line.\n\\(x=a\\) is a vertical line passing through the <em data-effect=\"italics\">x<\/em>- axis at \\(a\\)\n\\(y=b\\) is a horizontal line passing through the <em data-effect=\"italics\">y<\/em>- axis at \\(b\\).<\/li>\n \t<li>If <em data-effect=\"italics\">y<\/em> is isolated on one side of the equation, graph by plotting points.<\/li>\n \t<li>Choose any three values for <em data-effect=\"italics\">x<\/em> and then solve for the corresponding <em data-effect=\"italics\">y<\/em>- values.<\/li>\n \t<li>If the equation is of the form \\(ax+by=c\\), find the intercepts. Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts and then a third point.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1 data-type=\"title\">Glossary<\/h1>\n<div class=\"textbox shaded\">\n<dl id=\"fs-id1169597836673\">\n \t<dt>intercepts of a line<\/dt>\n \t<dd id=\"fs-id1169597836678\">The points where a line crosses the <em data-effect=\"italics\">x<\/em>- axis and the <em data-effect=\"italics\">y<\/em>- axis are called the intercepts of the line.<\/dd>\n<\/dl>\n<dl id=\"fs-id1169597836693\">\n \t<dt><em data-effect=\"italics\">x<\/em>- intercept<\/dt>\n \t<dd id=\"fs-id1169597836702\">The point \\(\\left(a,0\\right)\\) where the line crosses the <em data-effect=\"italics\">x<\/em>- axis; the <em data-effect=\"italics\">x<\/em>- intercept occurs when \\(y\\) is zero.<\/dd>\n<\/dl>\n<dl id=\"fs-id1169595259572\">\n \t<dt>y-intercept<\/dt>\n \t<dd id=\"fs-id1169595259581\">The point \\(\\left(0,b\\right)\\) where the line crosses the <em data-effect=\"italics\">y<\/em>- axis; the <em data-effect=\"italics\">y<\/em>- intercept occurs when \\(x\\) is zero.<\/dd>\n<\/dl>\n<\/div>\n<h1 data-type=\"title\">Practice Makes Perfect<\/h1>\n<h2 id=\"fs-id1169595223843\">Identify the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- Intercepts on a Graph<\/h2>\n<p id=\"fs-id1169595274186\">In the following exercises, find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts on each graph.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%; height: 452px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 326px;\">\n<td style=\"width: 50%; height: 326px;\">\n<div id=\"fs-id1169597574682\" data-type=\"problem\"><span id=\"fs-id1169597574684\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 5, 8), (negative 4, 7), (negative 3, 6), (negative 2, 5), (negative 1, 4), (0, 3), (1, 2), (2, 1), (3, 0), (4, negative 1), (5, negative 2) and (6, negative 3).\">1.<\/span><\/div>\n<div data-type=\"problem\"><span id=\"fs-id1169597574684\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 5, 8), (negative 4, 7), (negative 3, 6), (negative 2, 5), (negative 1, 4), (0, 3), (1, 2), (2, 1), (3, 0), (4, negative 1), (5, negative 2) and (6, negative 3).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_201_img_new.jpg\" alt=\"Graph of the equation y = \u2212x +3. The x-intercept is the point (3, 0) and the y-intercept is the point (0, 3).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div><\/td>\n<td style=\"width: 50%; height: 326px;\">\n<div data-type=\"problem\">2.<\/div>\n<div id=\"fs-id1169597753081\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595157017\" data-type=\"problem\"><span id=\"fs-id1169595157019\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, 8), (negative 5, 7), (negative 4, 6), (negative 3, 5), (negative 2, 4), (negative 1, 3), (0, 2), (1, 1), (2, 0), (3, negative 1), (4, negative 2), (5, negative 3) and (6, negative 4).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_202_img_new.jpg\" alt=\"The graph of the equation y = \u2212x + 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, 2).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597753081\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">3.<\/div>\n<\/div>\n<div id=\"fs-id1169597482780\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597482782\" data-type=\"problem\"><span id=\"fs-id1169597482784\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 5, negative 10), (negative 4, negative 9), (negative 3, negative 8), (negative 2, negative 7), (negative 1, negative 6), (0, negative 5), (1, negative 4), (2, negative 3), (3, negative 2), (4, negative 1), (5, 0), (6, 1), (7, 2), and (8, 3).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_203_img_new.jpg\" alt=\"Graph of the equation y = x \u2212 5. The x-intercept is the point (5, 0) and the y-intercept is the point (0, \u22125).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597482780\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597479451\" data-type=\"solution\">\n\n4.\n\n<\/div>\n<\/div>\n<div id=\"fs-id1169595275868\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595275870\" data-type=\"problem\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_204_img_new.jpg\" alt=\"Graph of the equation y = x \u2212 1. The x-intercept is the point (1, 0) and the y-intercept is the point (0, \u22121)\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/div>\n<\/div><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169595275868\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">5.<\/div>\n<\/div>\n<div id=\"fs-id1169597726026\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597726028\" data-type=\"problem\"><span id=\"fs-id1169597726030\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, negative 7), (negative 5, negative 6), (negative 4, negative 5), (negative 3, negative 4), (negative 2, negative 3), (negative 1, negative 2), (0, negative 1), (1, 0), (2, 1), (3, 2), (4, 3), (5, 4), (6, 5), (7, 6), and (8, 7).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_205_img_new.jpg\" alt=\"Graph of the equation y = \u2212x \u2212 2. The x-intercept is the point (\u22122, 0) and the y-intercept is the point (\u22122, 0).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597726026\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595150122\" data-type=\"solution\">\n\n6.\n\n<\/div>\n<\/div>\n<div id=\"fs-id1169597374066\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597374068\" data-type=\"problem\"><span id=\"fs-id1169597374070\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, 3), (negative 5, 2), (negative 4, 1), (negative 3, 0), (negative 2, negative 1), (negative 1, negative 2), (0, negative 3), (1, negative 4), (2, negative 5), (3, negative 6), (4, negative 7), (5, negative 8), and (6, negative 9).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_206_img_new.jpg\" alt=\"Graph of the equation y = \u2212x \u2212 3. The x-intercept is the point (\u22123, 0) and the y-intercept is the point (0, \u22123).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597374066\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">7.<\/div>\n<\/div>\n<div id=\"fs-id1169597803789\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597803791\" data-type=\"problem\"><span id=\"fs-id1169597824701\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, negative 5), (negative 5, negative 4), (negative 4, negative 3), (negative 3, negative 2), (negative 2, negative 1), (negative 1, 0), (0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7), (7, 8), and (8, 9).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_227_img_new.jpg\" alt=\"Graph of the equation y = x + 1. The x-intercept is the point (\u22121, 0) and the y-intercept is the point (0, 1). \" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597803789\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597722468\" data-type=\"solution\">\n\n8.\n\n<\/div>\n<\/div>\n<div id=\"fs-id1169595216031\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595216034\" data-type=\"problem\"><span id=\"fs-id1169595216036\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 8, negative 3), (negative 7, negative 2), (negative 6, negative 1), (negative 5, 0), (negative 4, 1), (negative 3, 2), (negative 2, 3), (negative 1, 4), (0, 5), (1, 6), (2, 7), (3, 8), (4, 9), and (5, 10).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_228_img_new.jpg\" alt=\"Graph of the equation y = x + 5. The x-intercept is point (\u22125, 0) and the y-intercept is the point (0, 5).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169595216031\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">9.<\/div>\n<\/div>\n<div id=\"fs-id1169597837616\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597837619\" data-type=\"problem\"><span id=\"fs-id1169595287795\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 10, 8), (negative 8, 7), (negative 6, 6), (negative 4, 5), (negative 2, 4), (0, 3), (2, 2), (4, 1), (6, 0), (8, negative 1), and (10, negative 2).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_229_img_new.jpg\" alt=\"Graph of the equation y = \u2212 1 half x + 3. The x-intercept is the point (6, 0) and the y-intercept is the point (0, 3).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597837616\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595287886\" data-type=\"solution\">\n\n10.\n\n<\/div>\n<\/div>\n<div id=\"fs-id1169597784821\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597784824\" data-type=\"problem\"><span id=\"fs-id1169597784826\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), and (6, negative 1).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_230_img_new.jpg\" alt=\"Graph of the equation y = \u2212 1 half x + 2. The x-intercept is the point (4, 0) and the y-intercept is the point (0, 2).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597784821\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597784824\" data-type=\"problem\"><\/div>\n<div data-type=\"problem\">11.<\/div>\n<\/div>\n<div id=\"fs-id1169595139293\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595139295\" data-type=\"problem\"><span id=\"fs-id1169595139297\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the plotted point (0, 0).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_207_img_new.jpg\" alt=\"Graph of the equation y = x. Both the x-intercept and y-intercept is the point (0, 0).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169595139293\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595256262\" data-type=\"solution\">\n\n12.\n\n<\/div>\n<\/div>\n<div id=\"fs-id1169597784879\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597784881\" data-type=\"problem\"><span id=\"fs-id1169595259202\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the plotted point (0, 0).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_208_img_new.jpg\" alt=\"Graph of the equation y = x. Both the x-intercept and y-intercept is the point (0, 0).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\"><\/span><\/div>\n<\/div><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1169597846098\">Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- Intercepts from an Equation of a Line<\/h2>\n<p id=\"fs-id1169597688801\">In the following exercises, find the intercepts for each equation.<\/p>\n\n<div id=\"fs-id1169595166714\" data-type=\"exercise\">\n<div id=\"fs-id1169595166716\" data-type=\"problem\">\n<table style=\"border-collapse: collapse; width: 100%; height: 182px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. \\(x+y=4\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">14. \\(x+y=3\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. \\(x+y=-2\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">17. \\(x\u2013y=5\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">18. \\(x\u2013y=1\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">19. \\(x\u2013y=-3\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">20. \\(x\u2013y=-4\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">21. \\(x+2y=8\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">22. \\(x+2y=10\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">23. \\(3x+y=6\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">24. \\(3x+y=9\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">25. \\(x\u20133y=12\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">25. \\(x\u20133y=12\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">27. \\(4x\u2013y=8\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">28. \\(5x\u2013y=5\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">28. \\(5x\u2013y=5\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">30. \\(2x+3y=6\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">31. \\(3x\u20132y=12\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">32. \\(3x\u20135y=30\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">33. \\(y=\\frac{1}{3}x+1\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">34. \\(y=\\frac{1}{4}x-1\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">35. \\(y=\\frac{1}{5}x+2\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">36. \\(y=\\frac{1}{3}x+4\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">37. \\(y=3x\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">38. \\(y=-2x\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">39. \\(y=-4x\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">40. \\(y=5x\\)<\/td>\n<td style=\"width: 50%;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<h2 id=\"fs-id1169595254858\">Graph a Line Using the Intercepts<\/h2>\n<p id=\"fs-id1169595355991\">In the following exercises, graph using the intercepts.<\/p>\n\n<table style=\"border-collapse: collapse; width: 100%; height: 183px;\" border=\"0\">\n<tbody>\n<tr style=\"height: 15px;\">\n<td style=\"width: 50%; height: 15px;\">41. \\(\u2013x+5y=10\\)<\/td>\n<td style=\"width: 50%; height: 15px;\">42. \\(\u2013x+4y=8\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">43. \\(x+2y=4\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">44. \\(x+2y=6\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">45. \\(x+y=2\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">46. \\(x+y=5\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">47. \\(x+y=-3\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">48. \\(x+y=-1\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">49. \\(x\u2013y=1\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">49. \\(x\u2013y=1\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">51. \\(x\u2013y=-4\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">52. \\(x\u2013y=-3\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">53. \\(4x+y=4\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">54. \\(3x+y=3\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">55. \\(2x+4y=12\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">56. \\(3x+2y=12\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">57. \\(3x\u20132y=6\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">58. \\(5x\u20132y=10\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">59. \\(2x\u20135y=-20\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">60. \\(3x\u20134y=-12\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">61. \\(3x\u2013y=-6\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">62. \\(2x\u2013y=-8\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">63. \\(y=\\frac{3}{2}x\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">64. \\(y=-4x\\)<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">65. \\(y=x\\)<\/td>\n<td style=\"width: 50%; height: 14px;\">66. \\(y=3x\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Everyday Math<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">\n<p id=\"fs-id1169595125798\">67.<strong data-effect=\"bold\"> Road trip.<\/strong> Damien is driving from Thunder Bay to Montreal, a distance of 1000 miles. The <em data-effect=\"italics\">x<\/em>- axis on the graph below shows the time in hours since Damien left Thunder Bay. The <em data-effect=\"italics\">y<\/em>- axis represents the distance he has left to drive.<\/p>\n<span id=\"fs-id1169595125812\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from 0 to 16. The y- axis of the planes runs from 0 to 1200 in increments of 200. The straight line goes through the points (0, 1000), (3, 800), (6, 600), (9, 400), (12, 200), and (15, 0). The points (0, 1000) and (15, 0) are marked and labeled with their coordinates.\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_225_img_new.jpg\" alt=\"Points plotted and labeled on the graph are described in the previous paragraph. A line is drawn between the points.\" width=\"241\" height=\"188\" data-media-type=\"image\/jpeg\"><\/span>\n<ol id=\"fs-id1168461758757\" class=\"circled\" type=\"1\">\n \t<li>a) Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts.<\/li>\n \t<li>b) Explain what the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts mean for Damien.<\/li>\n<\/ol>\n<\/td>\n<td style=\"width: 50%;\">\n<p id=\"fs-id1169597837100\">68.<strong data-effect=\"bold\"> Road trip.<\/strong> Jenna filled up the gas tank of her truck and headed out on a road trip. The <em data-effect=\"italics\">x<\/em>- axis on the graph below shows the number of miles Jenna drove since filling up. The <em data-effect=\"italics\">y<\/em>- axis represents the number of gallons of gas in the truck\u2019s gas tank.<\/p>\n<span id=\"fs-id1169595359623\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from 0 to 350 in increments of 50. The y- axis of the planes runs from 0 to 18 in increments of 2. The straight line goes through the points (0, 16), (150, 8), and (300, 0). The points (0, 16) and (300, 0) are marked and labeled with their coordinates\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_226_img_new.jpg\" alt=\"Points plotted and labeled on the graph are described in the previous paragraph. A line is drawn between the points.\" width=\"211\" height=\"261\" data-media-type=\"image\/jpeg\"><\/span>\n<ol id=\"fs-id1168463910867\" class=\"circled\" type=\"1\">\n \t<li>a) Find the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts.<\/li>\n \t<li>b) Explain what the <em data-effect=\"italics\">x<\/em>- and <em data-effect=\"italics\">y<\/em>- intercepts mean for Ozzie.<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">69. How do you find the <em data-effect=\"italics\">x<\/em>- intercept of the graph of \\(3x\u20132y=6\\)?<\/td>\n<td style=\"width: 50%;\">70. Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation \\(4x+y=-4\\)? Why?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">71. Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation \\(y=\\frac{2}{3}x-2\\)? Why?<\/td>\n<td style=\"width: 50%;\">72. Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation \\(y=6\\)? Why?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">1. \\(\\left(3,0\\right),\\left(0,3\\right)\\)<\/td>\n<td style=\"width: 50%;\">3. \\(\\left(5,0\\right),\\left(0,-5\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">5. \\(\\left(-2,0\\right),\\left(0,-2\\right)\\)<\/td>\n<td style=\"width: 50%;\">7. \\(\\left(-1,0\\right),\\left(0,1\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">9. \\(\\left(6,0\\right),\\left(0,3\\right)\\)<\/td>\n<td style=\"width: 50%;\">11. \\(\\left(0,0\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">13. \\(\\left(4,0\\right),\\left(0,4\\right)\\)<\/td>\n<td style=\"width: 50%;\">15. \\(\\left(-2,0\\right),\\left(0,-2\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">17. \\(\\left(5,0\\right),\\left(0,-5\\right)\\)<\/td>\n<td style=\"width: 50%;\">19. \\(\\left(-3,0\\right),\\phantom{\\rule{0.2em}{0ex}}\\text{}\\phantom{\\rule{0.2em}{0ex}}\\left(0,3\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">21. \\(\\left(8,0\\right),\\left(0,4\\right)\\)<\/td>\n<td style=\"width: 50%;\">23. \\(\\left(2,0\\right),\\left(0,6\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">25. \\(\\left(12,0\\right),\\left(0,-4\\right)\\)<\/td>\n<td style=\"width: 50%;\">27. \\(\\left(2,0\\right),\\left(0,-8\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. \\(\\left(5,0\\right),\\left(0,2\\right)\\)<\/td>\n<td style=\"width: 50%;\">31. \\(\\left(4,0\\right),\\left(0,-6\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">33.\u00a0\\(\\left(-3,0\\right),\\left(0,1\\right)\\)<\/td>\n<td style=\"width: 50%;\">35. \\(\\left(-10,0\\right),\\left(0,2\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">37. \\(\\left(0,0\\right)\\)<\/td>\n<td style=\"width: 50%;\">39. \\(\\left(0,0\\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">41.\n\n<span id=\"fs-id1169595219093\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The line graphed is negative x plus 5 y equals 10.\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_209_img_new.jpg\" alt=\"Graph of the equation \u2212x + 5y = 10. The x-intercept is the point (\u221210, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">43.\n\n<span id=\"fs-id1169595229423\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, 6), (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), (6, negative 1), (8, negative 2), and (10, negative 3).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_211_img_new.jpg\" alt=\"Graph of the equation x + 2 = 4. The x-intercept is the point (4, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">45.\n\n<span id=\"fs-id1169597615318\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, 10), (negative 7, 9), (negative 6, 8),(negative 5, 7), (negative 4, 6), (negative 3, 5), (negative 2, 4), (negative 1, 3), (0, 2), (1, 1), (2, 0), (3, negative 1), (4, negative 2), (5, negative 3), (6, negative 4), (7, negative 5), (8, negative 6), (9, negative 7), and (10, negative 8).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_213_img_new.jpg\" alt=\"Graph of the equation x + y = 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">47.\n\n<span id=\"fs-id1169597461529\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 7, 4), (negative 6, 3), (negative 5, 2),(negative 4, 1), (negative 3, 0), (negative 2, negative 1), (negative 1, negative 2), (0, negative 3), (1, negative 4), (2, negative 5), (3, negative 6), and (4, negative 7).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_215_img_new.jpg\" alt=\"Graph of the equation x + y = \u22123. The x-intercept is the point (\u22123, 0) and the y-intercept is the point (0, \u22123).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">49.\n\n<span id=\"fs-id1169595339805\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, negative 9), (negative 7, negative 8), (negative 6, negative 7),(negative 5, negative 6), (negative 4, negative 5), (negative 3, negative 4), (negative 2, negative 3), (negative 1, negative 2), (0, negative 1), (1, 0), (2, 1), (3, 2), (4, 3), (5, 4), (6, 5), (7, 6), (8, 7), (9, 8), and (10, 9).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_217_img_new.jpg\" alt=\"Graph of the equation x \u2212 y = 1. The x-intercept is the point (1, 0) is the y-intercept is the point (0, \u22121).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">51.\n\n<span id=\"fs-id1169597826439\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, negative 4), (negative 7, negative 3), (negative 6, negative 2),(negative 5, negative 1), (negative 4, 0), (negative 3, 1), (negative 2, 2), (negative 1, 3), (0, 4), (1, 5), (2, 6), (3, 7), (4, 8), (5, 9), (6, 10), (7, 11), and (8, 12).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_231_img_new.jpg\" alt=\"Graph of the equation x \u2212 y = \u22124. The x-intercept is the point (\u22124, 0) and the y-intercept is the point (0, 4).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">53.\n\n<span id=\"fs-id1169597683308\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 2, 12), (negative 1, 8), (0, 4), (1, 0), (2, negative 4), (3, negative 8), and (4, negative 12).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_219_img_new.jpg\" alt=\"Graph of the equation 4x + y = 4. The x-intercept is the point (1, 0) and the y-intercept is the point (0, 4).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">&nbsp;\n\n55.\n\n<span id=\"fs-id1169597809051\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 6, 6), (negative 4, 5), (negative 2, 4), (0, 3), (2, 2), (4, 1), and (6, 0).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_221_img_new.jpg\" alt=\"Graph of the equation 2x + 4y = 12. The x-intercept is the point (6, 0) and the y-intercept is the point (0, 3).\" width=\"228\" height=\"233\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">57.\n\n<span id=\"fs-id1169597837500\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 6, negative 12), (negative 4, negative 9), (negative 2, negative 6), (0, negative 3), (2, 0), (4, 3), (6, 6), (8, 9), and (10, 12).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_235_img_new.jpg\" alt=\"Graph of the equation 3x \u2212 2y = 6. The x-intercept is the point (2, 0) and the y-intercept is the point (\u22123, 0).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">59.\n\n<span id=\"fs-id1169597753137\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, 0), (negative 5, 2), (0, 4), (5, 6), and (10, 8).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_237_img_new.jpg\" alt=\"Graph of the equation 2x \u2212 5y = \u221220. The x-intercept is the point (\u221210, 0) and the y-intercept is the point (4, 0).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">61.\n\n<span id=\"fs-id1169595258834\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 6, negative 12), (negative 5, negative 9), (negative 4, negative 6), (negative 3, negative 3), (negative 2, 0), (1, 3), (2, 6), (3, 9), and (4, 12).\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_233_img_new.jpg\" alt=\"Graph of the equation 3x \u2212 y = \u22126. The x-intercept is the point (\u22122, 0) and the y-intercept is the point (0, 6).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">63.\n\n<img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_235_img_new.jpg\" alt=\"Graph of the equation y = 3 halves x \u2212 3. The x-intercept is the point (2, 0) and the y-intercept is the point (0, \u22123).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">65.\n\n<span id=\"fs-id1169597839694\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, 10), (negative 9, 9), (negative 8, 8), (negative 7, 7), (negative 6, 6), (negative 5, 5), (negative 4, 4), (negative 3, 3), (negative 2, 2), (negative 1, 1), (0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9), and (10, 10)\"><img class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_239_img_new.jpg\" alt=\"Graph of the equation y = x. Both the x-intercept and the y-intercept is the point (0, 0).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\"><\/span><\/td>\n<td style=\"width: 50%;\">67.\n\na)\\(\\left(0,1000\\right),\\left(15,0\\right)\\)\nb) At \\(\\left(0,1000\\right)\\), he has been gone 0 hours and has 1000 miles left. At \\(\\left(15,0\\right)\\), he has been gone 15 hours and has 0 miles left to go.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">69. Answers will vary.<\/td>\n<td style=\"width: 50%;\">71. Answers will vary.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\nThis chapter has been adapted from \u201cGraph with Intercepts\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em> (OpenStax)<\/a> by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.","rendered":"<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li>Identify the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>&#8211; and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/>&#8211; intercepts on a graph<\/li>\n<li>Find the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>&#8211; and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/>&#8211; intercepts from an equation of a line<\/li>\n<li>Graph a line using the intercepts<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Identify the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; Intercepts on a Graph<\/h1>\n<p id=\"fs-id1169597569695\">Every linear equation can be represented by a unique line that shows all the solutions of the equation. We have seen that when graphing a line by plotting points, you can use any three solutions to graph. This means that two people graphing the line might use different sets of three points.<\/p>\n<p id=\"fs-id1169597691502\">At first glance, their two lines might not appear to be the same, since they would have different points labeled. But if all the work was done correctly, the lines should be exactly the same. One way to recognize that they are indeed the same line is to look at where the line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis and the <em data-effect=\"italics\">y<\/em>&#8211; axis. These points are called the <em data-effect=\"italics\">intercepts<\/em> of the line.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Intercepts of a line<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>The points where a line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis and the <em data-effect=\"italics\">y<\/em>&#8211; axis are called the intercepts of a line.<\/p>\n<\/div>\n<\/div>\n<p id=\"fs-id1169595250168\">Let\u2019s look at the graphs of the lines in <a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_04_03_001\">(Figure 1)<\/a>.<\/p>\n<p>Examples of graphs crossing the x-negative axis.<\/p>\n<div id=\"CNX_ElemAlg_Figure_04_03_001\" class=\"bc-figure figure\">\n<figure style=\"width: 648px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2020\/07\/CNX_ElemAlg_Figure_04_03_001_img_new.jpg\" alt=\"Four figures, each showing a different straight line on the x y- coordinate plane. The x- axis of the planes runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Figure a shows a straight line crossing the x- axis at the point (3, 0) and crossing the y- axis at the point (0, 6). The graph is labeled with the equation 2x plus y equals 6. Figure b shows a straight line crossing the x- axis at the point (4, 0) and crossing the y- axis at the point (0, negative 3). The graph is labeled with the equation 3x minus 4y equals 12. Figure c shows a straight line crossing the x- axis at the point (5, 0) and crossing the y- axis at the point (0, negative 5). The graph is labeled with the equation x minus y equals 5. Figure d shows a straight line crossing the x- axis and y- axis at the point (0, 0). The graph is labeled with the equation y equals negative 2x.\" width=\"648\" height=\"749\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure .1<\/figcaption><\/figure>\n<\/div>\n<p id=\"fs-id1169597531782\">First, notice where each of these lines crosses the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/> negative axis. See <a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_04_03_001\">(Figure 1)<\/a>.<\/p>\n<table id=\"fs-id1169595220246\" class=\"grid aligncenter\" summary=\"This table has five rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cFigure\u201d, the second is &quot;The line crosses the x- axis at:&quot;, and the third is &quot;Ordered pair of this point&quot;. Under the first column, are the figures 04_03_001a, 04_03_001b, 04_03_001c, and 04_03_001d. Under the column &quot;The line crosses the x- axis at:&quot; are the values: 3, 4, 5, and 0. Under the column &quot;Ordered pair of this point&quot; are the ordered pairs: (3, 0), (4, 0), (5, 0), and (0, 0).\">\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\"><strong data-effect=\"bold\">Figure<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">The line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis at:<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">Ordered pair of this point<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (a)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-28a186f2424d2e935d6aa6388441b6d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (b)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">4<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2809647061e2f05aa3080110836f8805_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (c)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">5<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e3e1928d65786877c787a2d401d9e77e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"left\">Figure (d)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597389682\">Do you see a pattern?<\/p>\n<p id=\"fs-id1169595150208\">For each row, the <em data-effect=\"italics\">y<\/em>&#8211; coordinate of the point where the line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis is zero. The point where the line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis has the form <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-53d4347201ab8f9c6f195eeec4b01f0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#97;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/> and is called the <em data-effect=\"italics\">x<\/em>&#8211; intercept of a line. The <em data-effect=\"italics\">x<\/em>&#8211; intercept occurs when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/> is zero.<\/p>\n<p id=\"fs-id1169597538680\">Now, let\u2019s look at the points where these lines cross the <em data-effect=\"italics\">y<\/em>&#8211; axis. See the table below.<\/p>\n<table id=\"fs-id1169597430919\" class=\"grid aligncenter\" summary=\"This table has five rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cFigure\u201d, the second is &quot;The line crosses the y- axis at:&quot;, and the third is &quot;Ordered pair of this point&quot;. Under the first column, are the figures 04_03_001a, 04_03_001b, 04_03_001c, and 04_03_001d. Under the column &quot;The line crosses the x- axis at:&quot; are the values: 6, negative 3, negative 5, and 0. Under the column &quot;Ordered pair of this point&quot; are the ordered pairs: (0, 6), (0, negative 3), (0, 5), and (0, 0).\">\n<tbody>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">Figure<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">The line crosses the <em data-effect=\"italics\">y<\/em>-axis at:<\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\">Ordered pair for this point<\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (a)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">6<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3be590e6084f04549fae6ac7c149a1d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#54;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (b)<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-470cb162cf92c55d139f4f69216225e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: 0px;\" \/><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-017f20ea0c6fda3470cedb20ea0b5537_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#51;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (c)<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b5b9d9f382b11767d19f257afca0019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\" \/><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-6655aef23bcf82d48b1ff5bf888d5b2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">Figure (d)<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597808523\">What is the pattern here?<\/p>\n<p id=\"fs-id1169597354976\">In each row, the <em data-effect=\"italics\">x<\/em>&#8211; coordinate of the point where the line crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis is zero. The point where the line crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis has the form <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-05dbabd42fe84ba97e673be0628c5974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"37\" style=\"vertical-align: -4px;\" \/> and is called the <em data-effect=\"italics\">y- intercept<\/em> of the line. The <em data-effect=\"italics\">y<\/em>&#8211; intercept occurs when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/> is zero.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\"><em data-effect=\"italics\">x<\/em>&#8211; intercept and <em data-effect=\"italics\">y<\/em>&#8211; intercept of a line<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1172187709495\">The <em data-effect=\"italics\">x<\/em>&#8211; intercept is the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-53d4347201ab8f9c6f195eeec4b01f0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#97;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/> where the line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis.<\/p>\n<p id=\"fs-id1172187678221\">The <em data-effect=\"italics\">y<\/em>&#8211; intercept is the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-05dbabd42fe84ba97e673be0628c5974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"37\" style=\"vertical-align: -4px;\" \/> where the line crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis.<\/p>\n<p><span id=\"fs-id1168461242387\" data-type=\"media\" data-alt=\"No Alt Text\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_022_img_new.jpg\" alt=\"No Alt Text\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597415571\" data-type=\"note\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597503807\" data-type=\"problem\">\n<p id=\"fs-id1169597527007\">Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts on each graph.<\/p>\n<p><span id=\"fs-id1169597824427\" data-type=\"media\" data-alt=\"Three figures, each showing a different straight line on the x y- coordinate plane. The x- axis of the planes runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Figure a shows a straight line going through the points (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), and (6, negative 1). Figure b shows a straight line going through the points (0, negative 6), (1, negative 3), (2, 0), (3, 3), and (4, 6). Figure c shows a straight line going through the points (negative 6, 1), (negative 5, 0), (negative 4, negative 1), (negative 3, negative 2), (negative 2, negative 3), (negative 1, negative 4), (0, negative 5), and (1, negative 6).\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_002_img_new.jpg\" alt=\"Three figures, each showing a different straight line on the x y- coordinate plane. The x- axis of the planes runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Figure a shows a straight line going through the points (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), and (6, negative 1). Figure b shows a straight line going through the points (0, negative 6), (1, negative 3), (2, 0), (3, 3), and (4, 6). Figure c shows a straight line going through the points (negative 6, 1), (negative 5, 0), (negative 4, negative 1), (negative 3, negative 2), (negative 2, negative 3), (negative 1, negative 4), (0, negative 5), and (1, negative 6).\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<div id=\"fs-id1169597698554\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<ol id=\"fs-id1169597689590\" class=\"circled\" type=\"a\">\n<li>The graph crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis at the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2809647061e2f05aa3080110836f8805_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>. The <em data-effect=\"italics\">x<\/em>&#8211; intercept is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2809647061e2f05aa3080110836f8805_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>.<br \/>\nThe graph crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis at the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-398828550549fdd4b2191f8f7cde7bd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>. The <em data-effect=\"italics\">y<\/em>&#8211; intercept is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-398828550549fdd4b2191f8f7cde7bd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>.<\/li>\n<li>The graph crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis at the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-559928bd7c8949c8342dd73437aef05a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>. The <em data-effect=\"italics\">x<\/em>&#8211; intercept is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-559928bd7c8949c8342dd73437aef05a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><br \/>\nThe graph crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis at the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-76ba30a779b2946f1d9c14bf4ce7c710_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#54;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/>. The <em data-effect=\"italics\">y<\/em>&#8211; intercept is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-76ba30a779b2946f1d9c14bf4ce7c710_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#54;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/>.<\/li>\n<li>The graph crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis at the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ec88b644e77b4cf3730676a68b222f0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\" \/>. The <em data-effect=\"italics\">x<\/em>&#8211; intercept is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ec88b644e77b4cf3730676a68b222f0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"51\" style=\"vertical-align: -4px;\" \/>.<br \/>\nThe graph crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis at the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5f6ab1a0ed415088c10eaaa3977a4992_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/>. The <em data-effect=\"italics\">y<\/em>&#8211; intercept is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5f6ab1a0ed415088c10eaaa3977a4992_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/>.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597380989\" class=\"bc-section section\" data-depth=\"1\">\n<div id=\"fs-id1169597479509\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597692014\" data-type=\"exercise\">\n<div id=\"fs-id1169597332884\" data-type=\"problem\">\n<p id=\"fs-id1169597414455\">Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts on the graph.<\/p>\n<p><span id=\"fs-id1169597500677\" data-type=\"media\" data-alt=\"A figure showing a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 8, negative 10), (negative 6, negative 8), (negative 4, negative 6), (negative 2, negative 4), (0, negative 2), (2, 0), (4, 2), (6, 4), (8, 6), and (10, 8).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_003_img_new.jpg\" alt=\"Graph of the equation y = x \u2212 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, \u22122)\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<div id=\"fs-id1169597488664\" data-type=\"solution\">\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597383472\"><em data-effect=\"italics\">x<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-559928bd7c8949c8342dd73437aef05a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>; <em data-effect=\"italics\">y<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3ecef9f206503704c74407265b403ee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597455595\" data-type=\"problem\">\n<p id=\"fs-id1169597690286\">Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts on the graph.<\/p>\n<p><span id=\"fs-id1169597693230\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 9, 8), (negative 6, 6), (negative 3, 4), (0, 2), (3, 0), (6, negative 2), and (9, negative 4).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_004_img_new.jpg\" alt=\"Graph of the equation y = \u2212 2 thirds x + 2 and the x-intercept is the point (3, 0) and the y-intercept is the point (0, 2).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<div id=\"fs-id1169597464625\" data-type=\"solution\">\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169595353763\"><em data-effect=\"italics\">x<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-28a186f2424d2e935d6aa6388441b6d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>, <em data-effect=\"italics\">y<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-398828550549fdd4b2191f8f7cde7bd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1>Find the <em>x<\/em>&#8211; and <em>y<\/em>&#8211; Intercepts from an Equation of a Line<\/h1>\n<p id=\"fs-id1169597824362\">Recognizing that the <span class=\"no-emphasis\" data-type=\"term\"><em data-effect=\"italics\">x<\/em>&#8211; intercept<\/span> occurs when <em data-effect=\"italics\">y<\/em> is zero and that the <em data-effect=\"italics\">y<\/em>&#8211; intercept occurs when <em data-effect=\"italics\">x<\/em> is zero, gives us a method to find the intercepts of a line from its equation. To find the <em data-effect=\"italics\">x<\/em>&#8211; intercept, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> and solve for <em data-effect=\"italics\">x<\/em>. To find the <span class=\"no-emphasis\" data-type=\"term\"><em data-effect=\"italics\">y<\/em>&#8211; intercept<\/span>, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\" \/> and solve for <em data-effect=\"italics\">y<\/em>.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts from the equation of a line<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1169597536561\">Use the equation of the line. To find:<\/p>\n<ul id=\"fs-id1169597804239\" data-bullet-style=\"bullet\">\n<li>the <em data-effect=\"italics\">x<\/em>&#8211; intercept of the line, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> and solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>.<\/li>\n<li>the <em data-effect=\"italics\">y<\/em>&#8211; intercept of the line, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\" \/> and solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595219138\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595219142\" data-type=\"exercise\">\n<div id=\"fs-id1169597681434\" data-type=\"problem\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597392586\" data-type=\"problem\">\n<p id=\"fs-id1169595251958\">Find the intercepts of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-916cc1be8cd05a1ae6eeaf20edae6017_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#43;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169595217650\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1169597618730\">We will let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> to find the <em data-effect=\"italics\">x<\/em>&#8211; intercept, and let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\" \/> to find the <em data-effect=\"italics\">y<\/em>&#8211; intercept. We will fill in the table, which reminds us of what we need to find.<\/p>\n<p><span id=\"fs-id1169595361899\" data-type=\"media\" data-alt=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 2 x plus y equals 6. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. The third row is labeled \u201cx- intercept\u201d and has the first column blank and a 0 in the second column. The fourth row is labeled \u201cy- intercept\u201d and has a 0 in the first column with the second column blank.\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_016_img_new.jpg\" alt=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 2 x plus y equals 6. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. The third row is labeled \u201cx- intercept\u201d and has the first column blank and a 0 in the second column. The fourth row is labeled \u201cy- intercept\u201d and has a 0 in the first column with the second column blank.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<p id=\"fs-id1169597365768\">To find the <em data-effect=\"italics\">x<\/em>&#8211; intercept, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<table id=\"eip-id1172181403176\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172188189346\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">y<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172184888733\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172187818799\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172188007524\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">x<\/em>-intercept is<\/td>\n<td data-align=\"right\">(3, 0)<\/td>\n<\/tr>\n<tr>\n<td>To find the <em data-effect=\"italics\">y<\/em>-intercept, let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172178742531\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172187818588\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017f_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172184511558\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017g_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172188081302\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_017h_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">y<\/em>-intercept is<\/td>\n<td data-align=\"right\">(0, 6)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597837649\">The intercepts are the points <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-28a186f2424d2e935d6aa6388441b6d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/> and <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3be590e6084f04549fae6ac7c149a1d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#54;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/> as shown in the following table.<\/p>\n<table id=\"fs-id1169595144560\" class=\"grid\" summary=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 2x plus y equals 6. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. Under the first column are the numbers 3 and 0. Under the second column are the numbers 0 and 6.\">\n<tbody>\n<tr valign=\"top\">\n<td style=\"text-align: center;\" colspan=\"2\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-916cc1be8cd05a1ae6eeaf20edae6017_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#43;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/><\/strong><\/td>\n<td data-valign=\"bottom\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY 2.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595219138\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595219142\" data-type=\"exercise\">\n<div id=\"fs-id1169597681434\" data-type=\"problem\">\n<p id=\"fs-id1169597681436\">Find the intercepts of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bc040e01360c0fa4c4afa0cc56f74766_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#43;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597524924\" data-type=\"solution\">\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597517821\"><em data-effect=\"italics\">x<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2809647061e2f05aa3080110836f8805_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>, <em data-effect=\"italics\">y<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-977b0243afc1e93b6d551e14600e46a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#49;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"47\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174167\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595174170\" data-type=\"exercise\">\n<div id=\"fs-id1169597826468\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595174167\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595174170\" data-type=\"exercise\">\n<div id=\"fs-id1169597826468\" data-type=\"problem\">\n<p id=\"fs-id1169597826470\">Find the intercepts of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-971440700f82c87567aa141fb48186a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#52;&#121;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597704352\" data-type=\"solution\">\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597704355\"><em data-effect=\"italics\">x<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-52a836a9aba870ffb4036b68b4cb0c99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#56;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>, <em data-effect=\"italics\">y<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-398828550549fdd4b2191f8f7cde7bd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174167\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595174170\" data-type=\"exercise\">\n<div id=\"fs-id1169597704352\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595318019\" data-type=\"problem\">\n<p id=\"fs-id1169595149121\">Find the intercepts of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-10fcddf3ca7c55868e5a61c19adf8250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#45;&#51;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169595227896\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-id1172178264704\" class=\"unnumbered unstyled\" summary=\"The figure shows a series of statements and equations showing how to determine the intercepts from the two- variable equation 4x minus 3y equals 12: 4x minus 3y equals 12, \u201cLet y equals 0\u201d, 4x minus 3(0) equals 12 (where the 0 is red), \u201cSimplify\u201d, 4x minus 0 equals 12, 4x equals 12, x equals 3, \u201cThe x- intercept is (3, 0)\u201d, \u201cTo find the y- intercept, let x equals 0\u201d, 4x minus 3y equals 12, \u201cLet x equals 0\u201d, 4(0) minus 3y equals 12 (where the 0 is red), \u201cSimplify\u201d, 0 minus 3y equals 12, negative 3y equals 12, y equals negative 4, and \u201cThe y- intercept is (0, negative 4)\u201d.\" data-label=\"\">\n<tbody>\n<tr>\n<td>To find the <em data-effect=\"italics\">x<\/em>-intercept, let <em data-effect=\"italics\">y<\/em> = 0.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172184486604\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">y<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172183606128\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172183579846\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172187761771\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172183514822\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018e_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">x<\/em>-intercept is<\/td>\n<td data-align=\"right\">(3, 0)<\/td>\n<\/tr>\n<tr>\n<td>To find the <em data-effect=\"italics\">y<\/em>-intercept, let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172187839155\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018f_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Let <em data-effect=\"italics\">x<\/em> = 0.<\/td>\n<td><span id=\"eip-id1172183489708\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018g_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1172187986646\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018h_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172184378234\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018i_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span id=\"eip-id1172184581454\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_018j_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>The <em data-effect=\"italics\">y<\/em>-intercept is<\/td>\n<td data-align=\"right\">(0, \u22124)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1168463991914\">The intercepts are the points (3, 0) and (0, \u22124) as shown in the following table.<\/p>\n<table id=\"fs-id1169595254954\" class=\"grid\" summary=\"The figure shows a table with four rows and two columns. The first row is a title row and it labels the table with the equation 4x minus 3y equals 12. The second row is a header row and it labels each column. The first column header is \u201cx\u201d and the second is &quot;y&quot;. Under the first column are the numbers 3 and 0. Under the second column are the numbers 0 and negative 4.\" data-label=\"\">\n<tbody>\n<tr valign=\"top\">\n<td colspan=\"2\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-efedfb1adc9ce250cfc862e4fb07e730_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#45;&#51;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/><\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-00b9cce9021441b203ec0271d72e6ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: -1px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597531780\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597753051\" data-type=\"exercise\">\n<div id=\"fs-id1169597753053\" data-type=\"problem\">\n<p id=\"fs-id1169597753055\">Find the intercepts of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-55cdde22c236d7a6eda9d3f061851430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#52;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597518129\" data-type=\"solution\">\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597518131\"><em data-effect=\"italics\">x<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2809647061e2f05aa3080110836f8805_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>, <em data-effect=\"italics\">y<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-017f20ea0c6fda3470cedb20ea0b5537_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#51;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597531780\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597753051\" data-type=\"exercise\">\n<div id=\"fs-id1169597753053\" data-type=\"problem\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595254775\" data-type=\"problem\">\n<p id=\"fs-id1169595254777\">Find the intercepts of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f471dbb1f6bc443d9a1ca1f91f1f405b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#52;&#121;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<\/div>\n<div id=\"fs-id1169597555848\" data-type=\"solution\">\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<p id=\"fs-id1169597555851\"><em data-effect=\"italics\">x<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2809647061e2f05aa3080110836f8805_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>, <em data-effect=\"italics\">y<\/em>&#8211; intercept: <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3ecef9f206503704c74407265b403ee3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Graph a Line Using the Intercepts<\/h1>\n<p id=\"fs-id1169597689214\">To graph a linear equation by plotting points, you need to find three points whose coordinates are solutions to the equation. You can use the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts as two of your three points. Find the intercepts, and then find a third point to ensure accuracy. Make sure the points line up\u2014then draw the line. This method is often the quickest way to graph a line.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"title\">How to Graph a Line Using Intercepts<\/div>\n<div id=\"fs-id1169597574772\" data-type=\"exercise\">\n<div id=\"fs-id1169595217493\" data-type=\"problem\">\n<p id=\"fs-id1169595217499\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9d2fa5921b9545e5ff74ab908bb0d6ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#43;&#50;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"95\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<div id=\"fs-id1169597514092\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p><span id=\"fs-id1169597514097\" data-type=\"media\" data-alt=\"The figure shows a table with the general procedure for graphing a line using the intercepts along with a specific example using the equation negative x plus 2y equals 6. Step 1 of the general procedure is \u201cFind the x and y- intercepts of the line. Let y equals 0 and solve for x. Let x equals 0 and solve for y\u201d. Step 1 for the example is a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, negative x plus 2y equals 6, negative x plus 2(0) equals 6 (where the 0 is red), negative x equals 6, x equals negative 6, \u201cThe x- intercept is (negative 6, 0)\u201d, \u201cFind the y- intercept. Let x equals 0\u201d, negative x plus 2y equals 6, negative 0 plus 2y equals 6 (where the 0 is red), 2y equals 6, y equals 3, and \u201cThe y- intercept is (0, 3)\u201d.\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019a_img_new.jpg\" alt=\"The figure shows a table with the general procedure for graphing a line using the intercepts along with a specific example using the equation negative x plus 2y equals 6. Step 1 of the general procedure is \u201cFind the x and y- intercepts of the line. Let y equals 0 and solve for x. Let x equals 0 and solve for y\u201d. Step 1 for the example is a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, negative x plus 2y equals 6, negative x plus 2(0) equals 6 (where the 0 is red), negative x equals 6, x equals negative 6, \u201cThe x- intercept is (negative 6, 0)\u201d, \u201cFind the y- intercept. Let x equals 0\u201d, negative x plus 2y equals 6, negative 0 plus 2y equals 6 (where the 0 is red), 2y equals 6, y equals 3, and \u201cThe y- intercept is (0, 3)\u201d.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1169597697632\" data-type=\"media\" data-alt=\"Step 2 of the general procedure is \u201cFind another solution to the equation.\u201d Step 2 for the example is a series of statements and equations: \u201cWe\u2019ll use x equals 2\u201d, \u201cLet x equals 2\u201d, negative x plus 2y equals 6, negative 2 plus 2y equals 6 (where the first 2 is red), 2y equals 8, y equals 4, and \u201cA third point is (2, 4)\u201d. Step 3 of the general procedure is \u201cPlot the three points. Check that the points line up.\u201d\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019b_img_new.jpg\" alt=\"Step 2 of the general procedure is \u201cFind another solution to the equation.\u201d Step 2 for the example is a series of statements and equations: \u201cWe\u2019ll use x equals 2\u201d, \u201cLet x equals 2\u201d, negative x plus 2y equals 6, negative 2 plus 2y equals 6 (where the first 2 is red), 2y equals 8, y equals 4, and \u201cA third point is (2, 4)\u201d. Step 3 of the general procedure is \u201cPlot the three points. Check that the points line up.\u201d\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1169597824873\" data-type=\"media\" data-alt=\"Step 3 for the example is a table and a graph. The table has four rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x,y)\u201d. Under the first column are the numbers negative 6, 0 and 2. Under the second column are the numbers 0, 3, and 4. Under the third column are the ordered pairs (negative 6, 0), (0, 3), and (2, 4). The graph has three points on the x- y coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4).\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019c_img_new.jpg\" alt=\"Step 3 for the example is a table and a graph. The table has four rows and three columns. The first row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x,y)\u201d. Under the first column are the numbers negative 6, 0 and 2. Under the second column are the numbers 0, 3, and 4. Under the third column are the ordered pairs (negative 6, 0), (0, 3), and (2, 4). The graph has three points on the x- y coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4).\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1169597697630\" data-type=\"media\" data-alt=\"Step 4 of the general procedure is \u201cDraw the line.\u201d For the specific example, there is the statement \u201cSee the graph\u201d and a graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4). The straight line is drawn through the points (negative 6, 0), (negative 4, 1), (negative 2, 2), (0, 3), (2, 4), (4, 5), and (6, 6).\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_019d_img_new.jpg\" alt=\"Step 4 of the general procedure is \u201cDraw the line.\u201d For the specific example, there is the statement \u201cSee the graph\u201d and a graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (negative 6, 0), (0, 3), and (2, 4). The straight line is drawn through the points (negative 6, 0), (negative 4, 1), (negative 2, 2), (0, 3), (2, 4), (4, 5), and (6, 6).\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595665016\" data-type=\"problem\">\n<p id=\"fs-id1169595665019\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-aa0c2b19f08df4ade175acea26de46bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#50;&#121;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169596534537\" data-type=\"solution\"><\/div>\n<div id=\"fs-id1169597784149\" data-type=\"solution\"><span id=\"fs-id1169597784152\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, negative 7), (negative 8, negative 6), (negative 6, negative 5), (negative 4, negative 4), (negative 2, negative 3), (0, negative 2), (2, negative 1), (4, 0), (6, 1), (8, 2), and (10, 3).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_007_img_new.jpg\" alt=\"Graph of the equation x \u2212 2y = 4. The x-intercept is the point (4, 0) and the y-intercept is the point (0, \u22122).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/details>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169597516246\" data-type=\"problem\">\n<p id=\"fs-id1169595107963\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-aab32372b257b4e5ec12b999e2a08c25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#43;&#51;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"95\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<details>\n<summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169596534537\" data-type=\"solution\"><\/div>\n<div id=\"fs-id1169595155819\" data-type=\"solution\"><span id=\"fs-id1169595342836\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 12, negative 2), (negative 9, negative 1), (negative 6, 0), (negative 3, 1), (0, 2), (3, 3), (6, 4), (9, 5), and (12, 6).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_008_img_new.jpg\" alt=\"Graph of the equation \u2212x + 3y = 6. The x-intercept is the point (\u22126, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/details>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597516241\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597516244\" data-type=\"exercise\">\n<div data-type=\"solution\">\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Graph a linear equation using the intercepts<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1169597577036\">The steps to graph a linear equation using the intercepts are summarized below.<\/p>\n<div id=\"fs-id1169597577088\" class=\"howto\" data-type=\"note\">\n<div data-type=\"title\"><\/div>\n<ol id=\"fs-id1169597577094\" class=\"stepwise\" type=\"1\">\n<li>Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts of the line.\n<ul id=\"fs-id1169595223927\" data-bullet-style=\"open-circle\">\n<li>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> and solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/><\/li>\n<li>Let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\" \/> and solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/>.<\/li>\n<\/ul>\n<\/li>\n<li>Find a third solution to the equation.<\/li>\n<li>Plot the three points and check that they line up.<\/li>\n<li>Draw the line.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595275002\" data-type=\"problem\">\n<p id=\"fs-id1169595275004\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-10fcddf3ca7c55868e5a61c19adf8250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#45;&#51;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<div id=\"fs-id1169595155548\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1169597703812\">Find the intercepts and a third point.<\/p>\n<p><span id=\"fs-id1169597703816\" data-type=\"media\" data-alt=\"The figure shows a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, 4x minus 3y equals 12, 4x minus 3(0) equals 12 (where the 0 is red), 4x equals 12, x equals 3, \u201cFind the y- intercept. Let x equals 0\u201d, 4x minus 3y equals 12, 4(0) minus 3y equals 12 (where the 0 is red), negative 3y equals 12, y equals negative 4, \u201cthird point, let y equals 4\u201d, 4x minus 3y equals 12, 4x minus 3(4) equals 12 (where the second 4 is red), 4x minus 12 equals 12, 4x equals 24, and x equals 6.\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_009_img_new.jpg\" alt=\"The figure shows a series of statements and equations: \u201cFind the x- intercept. Let y equals 0\u201d, 4x minus 3y equals 12, 4x minus 3(0) equals 12 (where the 0 is red), 4x equals 12, x equals 3, \u201cFind the y- intercept. Let x equals 0\u201d, 4x minus 3y equals 12, 4(0) minus 3y equals 12 (where the 0 is red), negative 3y equals 12, y equals negative 4, \u201cthird point, let y equals 4\u201d, 4x minus 3y equals 12, 4x minus 3(4) equals 12 (where the second 4 is red), 4x minus 12 equals 12, 4x equals 24, and x equals 6.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<p id=\"fs-id1169595197648\">We list the points in following table and show the graph below.<\/p>\n<table id=\"fs-id1169595344204\" style=\"height: 106px; width: 674px;\" summary=\"The figure shows a table with five rows and three columns. The first row is a title row and it labels the table with the equation 4x minus 3y equals 12. The second row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x, y)\u201d. Under the first column are the numbers 3, 0, and 6. Under the second column are the numbers 0, negative 4, and 4. Under the third column are the ordered pairs (3, 0), (0, negative 4), and (6, 4).\">\n<tbody>\n<tr valign=\"top\">\n<td style=\"width: 658.406px;\" colspan=\"3\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-efedfb1adc9ce250cfc862e4fb07e730_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#45;&#51;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/><\/strong><\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-aee61752ae042431152087f74b766103_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#120;&#44;&#121;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"39\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\">3<\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-28a186f2424d2e935d6aa6388441b6d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-00b9cce9021441b203ec0271d72e6ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"22\" style=\"vertical-align: -1px;\" \/><\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-42f3c0bd5adc0ec0fa1707d7989e5c00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#52;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 111.406px;\" data-valign=\"middle\" data-align=\"center\">6<\/td>\n<td style=\"width: 124.406px;\" data-valign=\"middle\" data-align=\"center\">4<\/td>\n<td style=\"width: 395.406px;\" data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-86825c0bacfa777b8fe368820523b723_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#54;&#44;&#52;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span id=\"fs-id1169597878414\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. Three points are marked at (0, negative 4), (3, 0), and (6, 4). The straight line is drawn through the points (0, negative 4), (3, 0), and (6, 4).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_010_img_new.jpg\" alt=\"The points listed on the previous table are plotted. The equation graphed is 4x \u2212 3y = 12.\" width=\"317\" height=\"323\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-type=\"solution\">\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595138791\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595138794\" data-type=\"exercise\">\n<div id=\"fs-id1169597870668\" data-type=\"problem\">\n<p id=\"fs-id1169597870670\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c34a0adeaf625f671ff996201327c5bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#120;&#45;&#50;&#121;&#61;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<details open=\"open\">\n<summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169595256271\" data-type=\"solution\"><span id=\"fs-id1169595256274\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (0, negative 5), (2, 0), and (4, 5).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_011_img_new.jpg\" alt=\"Graph of the equation 5x \u2212 2y = 10.\" width=\"228\" height=\"234\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/details>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174528\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595123360\" data-type=\"exercise\">\n<div id=\"fs-id1169595123362\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1169597693074\" data-type=\"solution\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595123362\" data-type=\"problem\">\n<p id=\"fs-id1169595123364\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-55cdde22c236d7a6eda9d3f061851430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#52;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<details open=\"open\">\n<summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169597693074\" data-type=\"solution\"><span id=\"fs-id1169597693077\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 4, negative 6), (0, negative 3), and (4, 0).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_012_img_new.jpg\" alt=\"Graph of the equation 3x \u2212 4y = 12.\" width=\"228\" height=\"234\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595174528\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595123360\" data-type=\"exercise\">\n<div id=\"fs-id1169597693074\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595363896\" data-type=\"problem\">\n<p id=\"fs-id1169595363898\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91c10e13707f47199b50bd3f85254528_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#53;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"52\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<div id=\"fs-id1169597817464\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p><span id=\"fs-id1169597817470\" data-type=\"media\" data-alt=\"The figure shows two sets of statements and equations to find the intercepts from an equation. The first set of statements and equations is \u201cx- intercept\u201d, \u201clet y equals 0\u201d, y equals 5x, 0 equals 5x (where the 0 is red), 0 equals x, (0, 0). The second set of statements and equations is \u201cy- intercept\u201d, \u201clet x equals 0\u201d, y equals 5x, y equals 5(0) (where the 0 is red), y equals 0, (0, 0).\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_020_img_new.jpg\" alt=\"The figure shows two sets of statements and equations to find the intercepts from an equation. The first set of statements and equations is \u201cx- intercept\u201d, \u201clet y equals 0\u201d, y equals 5x, 0 equals 5x (where the 0 is red), 0 equals x, (0, 0). The second set of statements and equations is \u201cy- intercept\u201d, \u201clet x equals 0\u201d, y equals 5x, y equals 5(0) (where the 0 is red), y equals 0, (0, 0).\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<p id=\"fs-id1169597784798\">This line has only one intercept. It is the point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/>.<\/p>\n<p id=\"fs-id1169595313199\">To ensure accuracy we need to plot three points. Since the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts are the same point, we need <em data-effect=\"italics\">two<\/em> more points to graph the line.<\/p>\n<p><span id=\"fs-id1169597817907\" data-type=\"media\" data-alt=\"The figure shows two sets of statements and equations to find two points from an equation. The first set of statements and equations is \u201cLet x equals 1\u201d, y equals 5x, y equals 5(1) (where the 1 is red), y equals 5. The second set of statements and equations is \u201cLet x equals negative 1\u201d, y equals 5x, y equals 5(negative 1) (where the negative 1 is red), y equals negative 5.\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_021_img_new.jpg\" alt=\"The figure shows two sets of statements and equations to find two points from an equation. The first set of statements and equations is \u201cLet x equals 1\u201d, y equals 5x, y equals 5(1) (where the 1 is red), y equals 5. The second set of statements and equations is \u201cLet x equals negative 1\u201d, y equals 5x, y equals 5(negative 1) (where the negative 1 is red), y equals negative 5.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<p id=\"fs-id1169595353797\">See following table..<\/p>\n<table id=\"fs-id1169597701111\" class=\"grid\" summary=\"The figure shows a table with five rows and three columns. The first row is a title row and it labels the table with the equation y equals 5x. The second row is a header row and it labels each column. The first column header is \u201cx\u201d, the second is &quot;y&quot;, and the third is \u201c(x, y)\u201d. Under the first column are the numbers 0, 1, and negative 1. Under the second column are the numbers 0, 5, and negative 5. Under the third column are the ordered pairs (0, 0), (1, 5), and (negative 1, negative 5).\">\n<tbody>\n<tr valign=\"top\">\n<td style=\"text-align: center;\" colspan=\"3\" data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91c10e13707f47199b50bd3f85254528_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#53;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/><\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><strong data-effect=\"bold\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-aee61752ae042431152087f74b766103_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#120;&#44;&#121;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"39\" style=\"vertical-align: -4px;\" \/><\/strong><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\">0<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\">1<\/td>\n<td data-valign=\"middle\" data-align=\"center\">5<\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fc88778f80c6fa1eb186cfd3741de73e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#44;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b34c01098c83fa602de54e9d74d63a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: -1px;\" \/><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b5b9d9f382b11767d19f257afca0019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\" \/><\/td>\n<td data-valign=\"middle\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d66960a9b4adfa7702388a061d743cbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#49;&#44;&#45;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1169597805667\">Plot the three points, check that they line up, and draw the line.<\/p>\n<p><span id=\"fs-id1169597805670\" data-type=\"media\" data-alt=\"The figure shows the graph of a straight line going through three points on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. Three points are marked and labeled with their coordinates at (negative 1, negative 5), (0, 0), and (1, 5). The straight line is drawn through the points (negative 1, negative 5), (0, 0), and (1, 5).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_013_img_new.jpg\" alt=\"The points from the previous table are plotted and labeled. The equation graphed is y = 5x.\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595156267\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169597686948\" data-type=\"exercise\">\n<div id=\"fs-id1169597686950\" data-type=\"problem\">\n<p id=\"fs-id1169597686952\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3830f1c4beca3ad0dd7e3a5dae581de2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#52;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"52\" style=\"vertical-align: -4px;\" \/> using the intercepts.<\/p>\n<\/div>\n<details open=\"open\">\n<summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169597722132\" data-type=\"solution\"><span id=\"fs-id1169597722135\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 4, negative 12), (negative 3, negative 9), (negative 2, negative 6), (negative 1, negative 3), (0, 0), (1, 3), (2, 6), (3, 9), and (4, 12).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_014_img_new.jpg\" alt=\"Graph of the equation y = 4x.\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/details>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595223602\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1169595156996\" data-type=\"exercise\">\n<div id=\"fs-id1169595156998\" data-type=\"problem\"><\/div>\n<div id=\"fs-id1169595258861\" data-type=\"solution\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6.2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1169595156998\" data-type=\"problem\">\n<p id=\"fs-id1169595157000\">Graph <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a174c09e7d620501dd0fce5f658bb9a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#45;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"57\" style=\"vertical-align: -4px;\" \/> the intercepts.<\/p>\n<\/div>\n<details open=\"open\">\n<summary class=\"answer\">Show answer<\/summary>\n<div id=\"fs-id1169595258861\" data-type=\"solution\"><span id=\"fs-id1169595258864\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, 10), (negative 9, 9), (negative 8, 8), (negative 7, 7), (negative 6, 6), (negative 5, 5), (negative 4, 4), (negative 3, 3), (negative 2, 2), (negative 1, 1), (0, 0), (1, negative 1), (2, negative 2), (3, negative 3), (4, negative 4), (5, negative 5), (6, negative 6), (7, negative 7), (8, negative 8), (9, negative 9), and (10, negative 10).\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_015_img_new.jpg\" alt=\"Graph of the equation y = \u2212x.\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/details>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Key Concepts<\/h1>\n<ul id=\"fs-id1169595119485\" data-bullet-style=\"bullet\">\n<li><strong data-effect=\"bold\">Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; Intercepts from the Equation of a Line<\/strong>\n<ul id=\"fs-id1169597603891\" data-bullet-style=\"open-circle\">\n<li>Use the equation of the line to find the <em data-effect=\"italics\">x<\/em>&#8211; intercept of the line, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> and solve for <em data-effect=\"italics\">x<\/em>.<\/li>\n<li>Use the equation of the line to find the <em data-effect=\"italics\">y<\/em>&#8211; intercept of the line, let <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\" \/> and solve for <em data-effect=\"italics\">y<\/em>.<\/li>\n<\/ul>\n<\/li>\n<li><strong data-effect=\"bold\">Graph a Linear Equation using the Intercepts<\/strong>\n<ol id=\"fs-id1169595354189\" class=\"stepwise\" type=\"1\">\n<li>Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts of the line.<br \/>\nLet <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5e8ef70615fdaee8588017ac1fdd2da0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/> and solve for <em data-effect=\"italics\">x<\/em>.<br \/>\nLet <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\" \/> and solve for <em data-effect=\"italics\">y<\/em>.<\/li>\n<li>Find a third solution to the equation.<\/li>\n<li>Plot the three points and then check that they line up.<\/li>\n<li>Draw the line.<\/li>\n<\/ol>\n<\/li>\n<li><strong data-effect=\"bold\">Strategy for Choosing the Most Convenient Method to Graph a Line:<\/strong>\n<ul id=\"fs-id1169595362261\" data-bullet-style=\"open-circle\">\n<li>Consider the form of the equation.<\/li>\n<li>If it only has one variable, it is a vertical or horizontal line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2b24e8b3f28f048c85d6ea0f32d59fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#61;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"43\" style=\"vertical-align: 0px;\" \/> is a vertical line passing through the <em data-effect=\"italics\">x<\/em>&#8211; axis at <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bfc522d71f8ae0353ab021fa2a90c360_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"41\" style=\"vertical-align: -4px;\" \/> is a horizontal line passing through the <em data-effect=\"italics\">y<\/em>&#8211; axis at <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#98;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"8\" style=\"vertical-align: 0px;\" \/>.<\/li>\n<li>If <em data-effect=\"italics\">y<\/em> is isolated on one side of the equation, graph by plotting points.<\/li>\n<li>Choose any three values for <em data-effect=\"italics\">x<\/em> and then solve for the corresponding <em data-effect=\"italics\">y<\/em>&#8211; values.<\/li>\n<li>If the equation is of the form <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bcb05143893f7dbec1884c654e572397_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#120;&#43;&#98;&#121;&#61;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"90\" style=\"vertical-align: -4px;\" \/>, find the intercepts. Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts and then a third point.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1 data-type=\"title\">Glossary<\/h1>\n<div class=\"textbox shaded\">\n<dl id=\"fs-id1169597836673\">\n<dt>intercepts of a line<\/dt>\n<dd id=\"fs-id1169597836678\">The points where a line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis and the <em data-effect=\"italics\">y<\/em>&#8211; axis are called the intercepts of the line.<\/dd>\n<\/dl>\n<dl id=\"fs-id1169597836693\">\n<dt><em data-effect=\"italics\">x<\/em>&#8211; intercept<\/dt>\n<dd id=\"fs-id1169597836702\">The point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-53d4347201ab8f9c6f195eeec4b01f0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#97;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/> where the line crosses the <em data-effect=\"italics\">x<\/em>&#8211; axis; the <em data-effect=\"italics\">x<\/em>&#8211; intercept occurs when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" \/> is zero.<\/dd>\n<\/dl>\n<dl id=\"fs-id1169595259572\">\n<dt>y-intercept<\/dt>\n<dd id=\"fs-id1169595259581\">The point <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-05dbabd42fe84ba97e673be0628c5974_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#98;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"37\" style=\"vertical-align: -4px;\" \/> where the line crosses the <em data-effect=\"italics\">y<\/em>&#8211; axis; the <em data-effect=\"italics\">y<\/em>&#8211; intercept occurs when <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/> is zero.<\/dd>\n<\/dl>\n<\/div>\n<h1 data-type=\"title\">Practice Makes Perfect<\/h1>\n<h2 id=\"fs-id1169595223843\">Identify the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; Intercepts on a Graph<\/h2>\n<p id=\"fs-id1169595274186\">In the following exercises, find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts on each graph.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 452px;\">\n<tbody>\n<tr style=\"height: 326px;\">\n<td style=\"width: 50%; height: 326px;\">\n<div id=\"fs-id1169597574682\" data-type=\"problem\"><span id=\"fs-id1169597574684\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 5, 8), (negative 4, 7), (negative 3, 6), (negative 2, 5), (negative 1, 4), (0, 3), (1, 2), (2, 1), (3, 0), (4, negative 1), (5, negative 2) and (6, negative 3).\">1.<\/span><\/div>\n<div data-type=\"problem\"><span id=\"fs-id1169597574684\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 5, 8), (negative 4, 7), (negative 3, 6), (negative 2, 5), (negative 1, 4), (0, 3), (1, 2), (2, 1), (3, 0), (4, negative 1), (5, negative 2) and (6, negative 3).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_201_img_new.jpg\" alt=\"Graph of the equation y = \u2212x +3. The x-intercept is the point (3, 0) and the y-intercept is the point (0, 3).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/td>\n<td style=\"width: 50%; height: 326px;\">\n<div data-type=\"problem\">2.<\/div>\n<div id=\"fs-id1169597753081\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595157017\" data-type=\"problem\"><span id=\"fs-id1169595157019\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, 8), (negative 5, 7), (negative 4, 6), (negative 3, 5), (negative 2, 4), (negative 1, 3), (0, 2), (1, 1), (2, 0), (3, negative 1), (4, negative 2), (5, negative 3) and (6, negative 4).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_202_img_new.jpg\" alt=\"The graph of the equation y = \u2212x + 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, 2).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597753081\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">3.<\/div>\n<\/div>\n<div id=\"fs-id1169597482780\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597482782\" data-type=\"problem\"><span id=\"fs-id1169597482784\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 5, negative 10), (negative 4, negative 9), (negative 3, negative 8), (negative 2, negative 7), (negative 1, negative 6), (0, negative 5), (1, negative 4), (2, negative 3), (3, negative 2), (4, negative 1), (5, 0), (6, 1), (7, 2), and (8, 3).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_203_img_new.jpg\" alt=\"Graph of the equation y = x \u2212 5. The x-intercept is the point (5, 0) and the y-intercept is the point (0, \u22125).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597482780\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597479451\" data-type=\"solution\">\n<p>4.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595275868\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595275870\" data-type=\"problem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_204_img_new.jpg\" alt=\"Graph of the equation y = x \u2212 1. The x-intercept is the point (1, 0) and the y-intercept is the point (0, \u22121)\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169595275868\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">5.<\/div>\n<\/div>\n<div id=\"fs-id1169597726026\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597726028\" data-type=\"problem\"><span id=\"fs-id1169597726030\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, negative 7), (negative 5, negative 6), (negative 4, negative 5), (negative 3, negative 4), (negative 2, negative 3), (negative 1, negative 2), (0, negative 1), (1, 0), (2, 1), (3, 2), (4, 3), (5, 4), (6, 5), (7, 6), and (8, 7).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_205_img_new.jpg\" alt=\"Graph of the equation y = \u2212x \u2212 2. The x-intercept is the point (\u22122, 0) and the y-intercept is the point (\u22122, 0).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597726026\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595150122\" data-type=\"solution\">\n<p>6.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597374066\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597374068\" data-type=\"problem\"><span id=\"fs-id1169597374070\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, 3), (negative 5, 2), (negative 4, 1), (negative 3, 0), (negative 2, negative 1), (negative 1, negative 2), (0, negative 3), (1, negative 4), (2, negative 5), (3, negative 6), (4, negative 7), (5, negative 8), and (6, negative 9).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_206_img_new.jpg\" alt=\"Graph of the equation y = \u2212x \u2212 3. The x-intercept is the point (\u22123, 0) and the y-intercept is the point (0, \u22123).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597374066\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">7.<\/div>\n<\/div>\n<div id=\"fs-id1169597803789\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597803791\" data-type=\"problem\"><span id=\"fs-id1169597824701\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 6, negative 5), (negative 5, negative 4), (negative 4, negative 3), (negative 3, negative 2), (negative 2, negative 1), (negative 1, 0), (0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7), (7, 8), and (8, 9).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_227_img_new.jpg\" alt=\"Graph of the equation y = x + 1. The x-intercept is the point (\u22121, 0) and the y-intercept is the point (0, 1).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597803789\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597722468\" data-type=\"solution\">\n<p>8.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1169595216031\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595216034\" data-type=\"problem\"><span id=\"fs-id1169595216036\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 8, negative 3), (negative 7, negative 2), (negative 6, negative 1), (negative 5, 0), (negative 4, 1), (negative 3, 2), (negative 2, 3), (negative 1, 4), (0, 5), (1, 6), (2, 7), (3, 8), (4, 9), and (5, 10).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_228_img_new.jpg\" alt=\"Graph of the equation y = x + 5. The x-intercept is point (\u22125, 0) and the y-intercept is the point (0, 5).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169595216031\" class=\"material-set-2\" data-type=\"exercise\">\n<div data-type=\"problem\">9.<\/div>\n<\/div>\n<div id=\"fs-id1169597837616\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597837619\" data-type=\"problem\"><span id=\"fs-id1169595287795\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the points (negative 10, 8), (negative 8, 7), (negative 6, 6), (negative 4, 5), (negative 2, 4), (0, 3), (2, 2), (4, 1), (6, 0), (8, negative 1), and (10, negative 2).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_229_img_new.jpg\" alt=\"Graph of the equation y = \u2212 1 half x + 3. The x-intercept is the point (6, 0) and the y-intercept is the point (0, 3).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597837616\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595287886\" data-type=\"solution\">\n<p>10.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597784821\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597784824\" data-type=\"problem\"><span id=\"fs-id1169597784826\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), and (6, negative 1).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_230_img_new.jpg\" alt=\"Graph of the equation y = \u2212 1 half x + 2. The x-intercept is the point (4, 0) and the y-intercept is the point (0, 2).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169597784821\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597784824\" data-type=\"problem\"><\/div>\n<div data-type=\"problem\">11.<\/div>\n<\/div>\n<div id=\"fs-id1169595139293\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595139295\" data-type=\"problem\"><span id=\"fs-id1169595139297\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 10 to 10. The y- axis of the planes runs from negative 10 to 10. The straight line goes through the plotted point (0, 0).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_207_img_new.jpg\" alt=\"Graph of the equation y = x. Both the x-intercept and y-intercept is the point (0, 0).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<td style=\"width: 50%; height: 14px;\">\n<div id=\"fs-id1169595139293\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169595256262\" data-type=\"solution\">\n<p>12.<\/p>\n<\/div>\n<\/div>\n<div id=\"fs-id1169597784879\" class=\"material-set-2\" data-type=\"exercise\">\n<div id=\"fs-id1169597784881\" data-type=\"problem\"><span id=\"fs-id1169595259202\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the plotted point (0, 0).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_208_img_new.jpg\" alt=\"Graph of the equation y = x. Both the x-intercept and y-intercept is the point (0, 0).\" width=\"301\" height=\"309\" data-media-type=\"image\/jpeg\" \/><\/span><\/div>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"fs-id1169597846098\">Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; Intercepts from an Equation of a Line<\/h2>\n<p id=\"fs-id1169597688801\">In the following exercises, find the intercepts for each equation.<\/p>\n<div id=\"fs-id1169595166714\" data-type=\"exercise\">\n<div id=\"fs-id1169595166716\" data-type=\"problem\">\n<table style=\"border-collapse: collapse; width: 100%; height: 182px;\">\n<tbody>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">13. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8c56646851b0b777b1e91603cfa0af07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">14. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-67362702f5cd76d9a2dddf600e93e671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">15. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-25f0cd4a1ebf42794184f8902f6fca30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">17. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4f8cc10ebd2a5e8df6399edd31547f09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">18. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f918786c18ec06fb83a32307544dd16b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">19. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9250ccef872f210e85b34a5914a955b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">20. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3d8c1beec87a6bdc5096240c4d1e6f95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#45;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">21. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-20789d1d101f1c601b96aa237907612d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#50;&#121;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">22. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3cae33bcdb52a8b0e33a45924a5afc76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#50;&#121;&#61;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"92\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">23. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-827cfd6c83e73df785c1f64d3c021e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#43;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">24. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-527aba8af7d1bf6a785a5cc6248fdee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#43;&#121;&#61;&#57;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">25. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7ad2c55c726efeb200a3805fc5a92a07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#51;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">25. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7ad2c55c726efeb200a3805fc5a92a07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#51;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">27. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3b0b6a3edd1fd62e48a1d736b93ef815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#45;&#121;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">28. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b0c30116dd4e0e61cb44fa8d9f481e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#120;&#45;&#121;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">28. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-7b0c30116dd4e0e61cb44fa8d9f481e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#120;&#45;&#121;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"82\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">30. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-07795f3421886c79416fa26cd22cc5f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#43;&#51;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">31. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2adb1502e8ca40aa6f3af8658f4b799a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#50;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">32. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-90c3f67db6ac52ff40bb0b01fb37dcf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#53;&#121;&#61;&#51;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">33. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-07df8bb2e7964213c71becbdf5b0c19b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#120;&#43;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"84\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">34. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4df6eff0e8ecddfc1eeab23b0e80c128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;&#120;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"84\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">35. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-375241b036ea48cf6c44ca31b04ca8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#125;&#120;&#43;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"84\" style=\"vertical-align: -6px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">36. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-eb787c49478b35379663b067caadd16c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#120;&#43;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"85\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">37. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-90a3bd9d443d8f417af939f7c60966d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#51;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">38. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b1860f3bc1742115ef9046a1238467de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#45;&#50;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"66\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">39. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d6dd00142930f9fde84a1aaca1dedc3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#45;&#52;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"66\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">40. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-91c10e13707f47199b50bd3f85254528_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#53;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<h2 id=\"fs-id1169595254858\">Graph a Line Using the Intercepts<\/h2>\n<p id=\"fs-id1169595355991\">In the following exercises, graph using the intercepts.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 183px;\">\n<tbody>\n<tr style=\"height: 15px;\">\n<td style=\"width: 50%; height: 15px;\">41. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-67c0dfe6669c9a2744d07782b161332a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#43;&#53;&#121;&#61;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"104\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 15px;\">42. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a61f6d8ff890de5e75a984a46dfbd192_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#120;&#43;&#52;&#121;&#61;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"95\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">43. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5d617c009105da612113637708d4f4b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#50;&#121;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">44. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-57266acf353f74b1688f614aa9924f89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#50;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">45. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2cf7bd30c2d5df1310d8d250d7b8efbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">46. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a63cc4e94994cbb7a5c42a9c5d0f70f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">47. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c5ca20ad43730fc891b9d2a2757b968d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">48. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-de1e6b7c6bf0bd4186cd74bbe8b6142b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#43;&#121;&#61;&#45;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">49. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f918786c18ec06fb83a32307544dd16b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">49. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f918786c18ec06fb83a32307544dd16b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"73\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">51. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3d8c1beec87a6bdc5096240c4d1e6f95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#45;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">52. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-9250ccef872f210e85b34a5914a955b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#45;&#121;&#61;&#45;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">53. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-664ee5b0cec38831f83aaeeff09b841d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#43;&#121;&#61;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">54. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-334c636933233ad8becae682c430de38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#43;&#121;&#61;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"83\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">55. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3b66882a8c748fed24695ac1bb43fff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#43;&#52;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">56. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-64c943eb082c01ef6bb9fde386b62b80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#43;&#50;&#121;&#61;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"99\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">57. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-71c07903ab90d2bdcc5bb33155df82ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#50;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">58. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c34a0adeaf625f671ff996201327c5bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#120;&#45;&#50;&#121;&#61;&#49;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"100\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">59. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b656a72a2cc4f07c14b3582756c7ea0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#53;&#121;&#61;&#45;&#50;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"114\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">60. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-13c52d7889827e3129bc4173b2f7e966_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#52;&#121;&#61;&#45;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">61. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-8c700e59e28927d9ad84a814bbbbd5e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#121;&#61;&#45;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"97\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">62. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a803366e5c4dd133441ca6c2f34f0758_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#45;&#121;&#61;&#45;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"97\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">63. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c15a64bb1e0ff79129445d69f8291fba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#125;&#123;&#50;&#125;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"54\" style=\"vertical-align: -6px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">64. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d6dd00142930f9fde84a1aaca1dedc3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#45;&#52;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"66\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"width: 50%; height: 14px;\">65. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-0a99c26c04ea6299b78366ce136d5675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%; height: 14px;\">66. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-90a3bd9d443d8f417af939f7c60966d1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#51;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"52\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Everyday Math<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">\n<p id=\"fs-id1169595125798\">67.<strong data-effect=\"bold\"> Road trip.<\/strong> Damien is driving from Thunder Bay to Montreal, a distance of 1000 miles. The <em data-effect=\"italics\">x<\/em>&#8211; axis on the graph below shows the time in hours since Damien left Thunder Bay. The <em data-effect=\"italics\">y<\/em>&#8211; axis represents the distance he has left to drive.<\/p>\n<p><span id=\"fs-id1169595125812\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from 0 to 16. The y- axis of the planes runs from 0 to 1200 in increments of 200. The straight line goes through the points (0, 1000), (3, 800), (6, 600), (9, 400), (12, 200), and (15, 0). The points (0, 1000) and (15, 0) are marked and labeled with their coordinates.\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_225_img_new.jpg\" alt=\"Points plotted and labeled on the graph are described in the previous paragraph. A line is drawn between the points.\" width=\"241\" height=\"188\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<ol id=\"fs-id1168461758757\" class=\"circled\" type=\"1\">\n<li>a) Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts.<\/li>\n<li>b) Explain what the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts mean for Damien.<\/li>\n<\/ol>\n<\/td>\n<td style=\"width: 50%;\">\n<p id=\"fs-id1169597837100\">68.<strong data-effect=\"bold\"> Road trip.<\/strong> Jenna filled up the gas tank of her truck and headed out on a road trip. The <em data-effect=\"italics\">x<\/em>&#8211; axis on the graph below shows the number of miles Jenna drove since filling up. The <em data-effect=\"italics\">y<\/em>&#8211; axis represents the number of gallons of gas in the truck\u2019s gas tank.<\/p>\n<p><span id=\"fs-id1169595359623\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from 0 to 350 in increments of 50. The y- axis of the planes runs from 0 to 18 in increments of 2. The straight line goes through the points (0, 16), (150, 8), and (300, 0). The points (0, 16) and (300, 0) are marked and labeled with their coordinates\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_226_img_new.jpg\" alt=\"Points plotted and labeled on the graph are described in the previous paragraph. A line is drawn between the points.\" width=\"211\" height=\"261\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<ol id=\"fs-id1168463910867\" class=\"circled\" type=\"1\">\n<li>a) Find the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts.<\/li>\n<li>b) Explain what the <em data-effect=\"italics\">x<\/em>&#8211; and <em data-effect=\"italics\">y<\/em>&#8211; intercepts mean for Ozzie.<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 data-type=\"title\">Writing Exercises<\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">69. How do you find the <em data-effect=\"italics\">x<\/em>&#8211; intercept of the graph of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-71c07903ab90d2bdcc5bb33155df82ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#45;&#50;&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" style=\"vertical-align: -4px;\" \/>?<\/td>\n<td style=\"width: 50%;\">70. Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c48778c863eb6fd6f9485d6e390f2b1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#120;&#43;&#121;&#61;&#45;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"97\" style=\"vertical-align: -4px;\" \/>? Why?<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">71. Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-ad03ec024155fb804a38bb43f5300b4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#51;&#125;&#120;&#45;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"84\" style=\"vertical-align: -6px;\" \/>? Why?<\/td>\n<td style=\"width: 50%;\">72. Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-17932c1f62fa0296571e88ce8fc0a117_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;&#61;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\" \/>? Why?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Answers<\/h1>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\">1. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-869b99518d49b8e3bee9ba43edd3c259_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#51;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">3. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3c1a23c4a2ce518346a024cd569116ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">5. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2d93fa893de1f54adee772bd9c02526d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"116\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">7. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-bfac3442f3f510e22bc91b25507a829b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#49;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#49;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">9. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-b6be100063f95bced032b9d0ccb5d887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#54;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#51;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">11. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">13. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-765773c58849feee7c2aae677ccfa0c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#52;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">15. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-2d93fa893de1f54adee772bd9c02526d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"116\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">17. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-3c1a23c4a2ce518346a024cd569116ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#53;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">19. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-e87584526b424beb87a8f4e16f092027_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#51;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"112\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">21. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-4ad41f47670a6c33162878887867b4d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#56;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#52;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">23. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-a47dd28ce431ce4f6fd961a8ee74b456_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#54;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">25. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-d0354abd3d599fcfbf33c61fc9964c0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#52;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"111\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">27. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-f5a18e540cbc13b5e869d3e58c0158f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#50;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#56;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">29. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-453f0fbbab3b56bd33135c06268ee28e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"88\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">31. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-fa9d318a62c80daa6f61bd7fa60bb05c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#52;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#45;&#54;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"102\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">33.\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-03239b17f5142223fdc098991ede9143_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#51;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#49;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\" \/><\/td>\n<td style=\"width: 50%;\">35. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-84cf2377221f4f45f741c772d5ed2bad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#49;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"111\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">37. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<td style=\"width: 50%;\">39. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-c53627fd7039dcb62c54d86fe468e6e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">41.<\/p>\n<p><span id=\"fs-id1169595219093\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The line graphed is negative x plus 5 y equals 10.\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_209_img_new.jpg\" alt=\"Graph of the equation \u2212x + 5y = 10. The x-intercept is the point (\u221210, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">43.<\/p>\n<p><span id=\"fs-id1169595229423\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, 6), (negative 6, 5), (negative 4, 4), (negative 2, 3), (0, 2), (2, 1), (4, 0), (6, negative 1), (8, negative 2), and (10, negative 3).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_211_img_new.jpg\" alt=\"Graph of the equation x + 2 = 4. The x-intercept is the point (4, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">45.<\/p>\n<p><span id=\"fs-id1169597615318\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, 10), (negative 7, 9), (negative 6, 8),(negative 5, 7), (negative 4, 6), (negative 3, 5), (negative 2, 4), (negative 1, 3), (0, 2), (1, 1), (2, 0), (3, negative 1), (4, negative 2), (5, negative 3), (6, negative 4), (7, negative 5), (8, negative 6), (9, negative 7), and (10, negative 8).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_213_img_new.jpg\" alt=\"Graph of the equation x + y = 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, 2).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">47.<\/p>\n<p><span id=\"fs-id1169597461529\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 7, 4), (negative 6, 3), (negative 5, 2),(negative 4, 1), (negative 3, 0), (negative 2, negative 1), (negative 1, negative 2), (0, negative 3), (1, negative 4), (2, negative 5), (3, negative 6), and (4, negative 7).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_215_img_new.jpg\" alt=\"Graph of the equation x + y = \u22123. The x-intercept is the point (\u22123, 0) and the y-intercept is the point (0, \u22123).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">49.<\/p>\n<p><span id=\"fs-id1169595339805\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, negative 9), (negative 7, negative 8), (negative 6, negative 7),(negative 5, negative 6), (negative 4, negative 5), (negative 3, negative 4), (negative 2, negative 3), (negative 1, negative 2), (0, negative 1), (1, 0), (2, 1), (3, 2), (4, 3), (5, 4), (6, 5), (7, 6), (8, 7), (9, 8), and (10, 9).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_217_img_new.jpg\" alt=\"Graph of the equation x \u2212 y = 1. The x-intercept is the point (1, 0) is the y-intercept is the point (0, \u22121).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">51.<\/p>\n<p><span id=\"fs-id1169597826439\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 8, negative 4), (negative 7, negative 3), (negative 6, negative 2),(negative 5, negative 1), (negative 4, 0), (negative 3, 1), (negative 2, 2), (negative 1, 3), (0, 4), (1, 5), (2, 6), (3, 7), (4, 8), (5, 9), (6, 10), (7, 11), and (8, 12).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_231_img_new.jpg\" alt=\"Graph of the equation x \u2212 y = \u22124. The x-intercept is the point (\u22124, 0) and the y-intercept is the point (0, 4).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">53.<\/p>\n<p><span id=\"fs-id1169597683308\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 2, 12), (negative 1, 8), (0, 4), (1, 0), (2, negative 4), (3, negative 8), and (4, negative 12).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_219_img_new.jpg\" alt=\"Graph of the equation 4x + y = 4. The x-intercept is the point (1, 0) and the y-intercept is the point (0, 4).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">&nbsp;<\/p>\n<p>55.<\/p>\n<p><span id=\"fs-id1169597809051\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 7 to 7. The y- axis of the planes runs from negative 7 to 7. The straight line goes through the points (negative 6, 6), (negative 4, 5), (negative 2, 4), (0, 3), (2, 2), (4, 1), and (6, 0).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_221_img_new.jpg\" alt=\"Graph of the equation 2x + 4y = 12. The x-intercept is the point (6, 0) and the y-intercept is the point (0, 3).\" width=\"228\" height=\"233\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">57.<\/p>\n<p><span id=\"fs-id1169597837500\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 6, negative 12), (negative 4, negative 9), (negative 2, negative 6), (0, negative 3), (2, 0), (4, 3), (6, 6), (8, 9), and (10, 12).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_235_img_new.jpg\" alt=\"Graph of the equation 3x \u2212 2y = 6. The x-intercept is the point (2, 0) and the y-intercept is the point (\u22123, 0).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">59.<\/p>\n<p><span id=\"fs-id1169597753137\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, 0), (negative 5, 2), (0, 4), (5, 6), and (10, 8).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_237_img_new.jpg\" alt=\"Graph of the equation 2x \u2212 5y = \u221220. The x-intercept is the point (\u221210, 0) and the y-intercept is the point (4, 0).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">61.<\/p>\n<p><span id=\"fs-id1169595258834\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 6, negative 12), (negative 5, negative 9), (negative 4, negative 6), (negative 3, negative 3), (negative 2, 0), (1, 3), (2, 6), (3, 9), and (4, 12).\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_233_img_new.jpg\" alt=\"Graph of the equation 3x \u2212 y = \u22126. The x-intercept is the point (\u22122, 0) and the y-intercept is the point (0, 6).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">63.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_235_img_new.jpg\" alt=\"Graph of the equation y = 3 halves x \u2212 3. The x-intercept is the point (2, 0) and the y-intercept is the point (0, \u22123).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">65.<\/p>\n<p><span id=\"fs-id1169597839694\" data-type=\"media\" data-alt=\"The figure shows a straight line on the x y- coordinate plane. The x- axis of the plane runs from negative 12 to 12. The y- axis of the planes runs from negative 12 to 12. The straight line goes through the points (negative 10, 10), (negative 9, 9), (negative 8, 8), (negative 7, 7), (negative 6, 6), (negative 5, 5), (negative 4, 4), (negative 3, 3), (negative 2, 2), (negative 1, 1), (0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9), and (10, 10)\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/opentextbc.ca\/accessibilitytoolkit\/wp-content\/uploads\/sites\/333\/2021\/03\/CNX_ElemAlg_Figure_04_03_239_img_new.jpg\" alt=\"Graph of the equation y = x. Both the x-intercept and the y-intercept is the point (0, 0).\" width=\"243\" height=\"248\" data-media-type=\"image\/jpeg\" \/><\/span><\/td>\n<td style=\"width: 50%;\">67.<\/p>\n<p>a)<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-71b55956b6a31c4ab765f13c493d5d6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#49;&#48;&#48;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#44;&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"123\" style=\"vertical-align: -4px;\" \/><br \/>\nb) At <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-1aa95b5ff1f9bf4f02b9f70639ff1a5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#48;&#44;&#49;&#48;&#48;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -4px;\" \/>, he has been gone 0 hours and has 1000 miles left. At <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/opentextbc.ca\/introalgebra\/wp-content\/ql-cache\/quicklatex.com-5b34c82f3a2b59530e09e3ee4a75bc7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#49;&#53;&#44;&#48;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"47\" style=\"vertical-align: -4px;\" \/>, he has been gone 15 hours and has 0 miles left to go.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">69. Answers will vary.<\/td>\n<td style=\"width: 50%;\">71. Answers will vary.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1>Attributions<\/h1>\n<p>This chapter has been adapted from \u201cGraph with Intercepts\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em> (OpenStax)<\/a> by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.<\/p>\n","protected":false},"author":90,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1589","chapter","type-chapter","status-publish","hentry"],"part":1370,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/1589","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/1589\/revisions"}],"predecessor-version":[{"id":1590,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/1589\/revisions\/1590"}],"part":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/parts\/1370"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/1589\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/media?parent=1589"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=1589"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/contributor?post=1589"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/license?post=1589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}