Answer
See graph
Work Step by Step
$-3x+2y=3$
$2y=3x+3$
$y=\frac{3}{2}x+\frac{3}{2}$
Plug in x-values, such as -1, 0, and 1, to find their corresponding y-values.
$x=-1$
$y=\frac{3}{2}(-1)+\frac{3}{2}$
$y=0$
$(-1,0)$
$x=0$
$y=\frac{3}{2}(0)+\frac{3}{2}$
$y=\frac{3}{2}$
$(0,\frac{3}{2})$
$x=1$
$y=\frac{3}{2}(1)+\frac{3}{2}$
$y=3$
$(1,3)$
Plot these points on a graph and connect with a straightedge.