For questions 1 to 10, sketch the linear equation using the slope intercept method.

1. $y = -\dfrac{1}{4}x - 3$
2. $y = \dfrac{3}{2}x - 1$
3. $y = -\dfrac{5}{4}x - 4$
4. $y = -\dfrac{3}{5}x + 1$
5. $y = -\dfrac{4}{3}x + 2$
6. $y = \dfrac{5}{3}x + 4$
7. $y = \dfrac{3}{2}x - 5$
8. $y = -\dfrac{2}{3}x - 2$
9. $y = -\dfrac{4}{5}x - 3$
10. $y = \dfrac{1}{2}x$

For questions 11 to 20, sketch the linear equation using the $x$ and $y$ intercepts.

1. $x + 4y = -4$
2. $2x - y = 2$
3. $2x + y = 4$
4. $3x + 4y = 12$
5. $2x - y = 2$
6. $4x + 3y = -12$
7. $x + y = -5$
8. $3x + 2y = 6$
9. $x - y = -2$
10. $4x - y = -4$

For questions 21 to 28, sketch the linear equation using any method.

1. $y = -\dfrac{1}{2}x + 3$
2. $y = 2x - 1$
3. $y = -\dfrac{5}{4}x$
4. $y = -3x + 2$
5. $y = -\dfrac{3}{2}x + 1$
6. $y = \dfrac{1}{3}x - 3$
7. $y = \dfrac{3}{2}x + 2$
8. $y = 2x - 2$
1. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} y& +& 3& =& -\dfrac{4}{5}x& +& 3 \\ &-&3&&&-&3 \\ \hline &&y&=&-\dfrac{4}{5}x&& \end{array}$
2. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} y&-&4&=&\dfrac{1}{2}x&& \\ &+&4&&&+&4 \\ \hline &&y&=&\dfrac{1}{2}x&+&4 \end{array}$
3. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} x& +& 5y& =& -3& +& 2y \\ -x&-&2y&&-x&-&2y \\ \hline &&3y&=&-x&-&3 \\ &&y&=&-\dfrac{1}{3}x&-&1 \end{array}$
4. $\phantom{a}$
$\begin{array}[t]{rrrrrrrrr} 3x& -& y& =& 4& +& x& -& 2y \\ -3x&+&2y&&&-&3x&+&2y \\ \hline &&y&=&-2x&+&4&& \end{array}$
5. $\phantom{a}$
$\begin{array}[t]{rrrrrrrr} 4x&+&3y&=&5(x&+&y)& \\ 4x&+&3y&=&5x&+&5y& \\ -4x&-&5y&&-4x&-&5y& \\ \hline &&\dfrac{-2y}{-2}&=&\dfrac{x}{-2}&&& \\ \\ &&y&=&-\dfrac{1}{2}x&&& \end{array}$
6. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} 3x&+&4y&=&12&-&2y \\ -3x&+&2y&&-3x&+&2y \\ \hline &&\dfrac{6y}{6}&=&\dfrac{-3x}{6}&+&\dfrac{12}{6} \\ \\ &&y&=&-\dfrac{1}{2}x&+&2 \end{array}$
7. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} 2x&-&y&=&2&-&y \\ &+&y&&&+&y \\ \hline &&2x&=&2&& \\ &&x&=&1&& \end{array}$
8. $\phantom{a}$
$\begin{array}[t]{rrrrrrrrr} 7x&+&3y&=&2(2x&+&2y)&+&6 \\ 7x&+&3y&=&4x&+&4y&+&6 \\ -7x&-&4y&&-7x&-&4y&& \\ \hline &&-y&=&-3x&+&6&& \\ &&y&=&3x&-&6&& \end{array}$
9. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} x&+&y&=&-2x&+&3 \\ -x&&&&-\phantom{1}x&& \\ \hline &&y&=&-3x&+&3 \end{array}$
10. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} 3x&+&4y&=&3y&+&6 \\ -3x&-&3y&&-3y&-&3x \\ \hline &&y&=&-3x&+&6 \end{array}$
11. $\phantom{a}$
$\begin{array}[t]{rrrrrrrrr} 2(x&+&y)&=&-3(x&+&y)&+&5 \\ 2x&+&2y&=&-3x&-&3y&+&5 \\ -2x&+&3y&&-2x&+&3y&& \\ \hline &&5y&=&-5x&+&5&& \\ &&y&=&-x&+&1&& \end{array}$
12. $\phantom{a}$
$\begin{array}[t]{rrrrrrr} 9x&-&y&=&4x&+&5 \\ -9x&&&&-9x&& \\ \hline &&-y&=&-5x&+&5 \\ &&y&=&5x&-&5 \end{array}$