Answer
See the graph
Work Step by Step
Given:$-2x+3y=-12$
$3y=-12+2x$
$y=-4+\frac{2}{3}x$
The y-intercept is $-4$. Plot a point $(0,-4)$.
Find the x-intercpt by substituting 0 for y:
$0=-4+\frac{2}{3}x$
$\frac{2}{3}x=4$
$x=6$
Plot another point $(6,0)$.
Graph the line through those two points.
