Answer
Please see the graph.
Work Step by Step
$3x-2y=12$
Let $x=0$
$3x-2y=12$
$3*0-2y=12$
$0-2y=12$
$-2y=12$
$-2y/-2 = 12/-2$
$y=-6$
Let $y=0$
$3x-2y=12$
$3x-2*0=12$
$3x=12$
$3x/3 =12/3$
$x=4$
Let $x=6$
$3x-2y=12$
$3*6-2y=12$
$18-2y=12$
$18-12-2y+2y=12-12+2y$
$6=2y$
$6/2=2y/2$
$3=y$
Three points on the line are $(0,-6), (4,0)$, and $(6,3)$.