Answer
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow -2y+12=-3x$
Subtract $12$ from each side.
$\Rightarrow -2y+12-12=-3x-12$
Simplify.
$\Rightarrow -2y=-3x-12$
Divide each side by $-2$.
$\Rightarrow \frac{-2y}{-2}=\frac{-3x-12}{-2}$
$\Rightarrow y=\frac{3}{2}x+6$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$ intercept is $b=6$.
Plot the $y-$ intercept $A=(0,6)$.
The slope is $m=\frac{3}{2}$.
Slope $m=\frac{rise}{run}=\frac{3}{2}$
The next point is $2$ unit right and $3$ unit up from the point $(0,6)$.
Plot the point $B=(2,9)$.
Draw a line through the two points.
