Answer
Please see the graph.
Work Step by Step
$9x-6y+3=0$
$9x-6y=-3$
Let $x=0$ (y-intercept)
$9x-6y=-3$
$9*0-6y=-3$
$0-6y=-3$
$-6y=-3$
$-6y/-6=-3/-6$
$y=1/2$
$(0,.5)$
Let $y=0$ (x-intercept)
$9x-6y=-3$
$9x-6*0=-3$
$9x-0=-3$
$9x=-3$
$9x/9=-3/9$
$x=-1/3$
$(-1/3,0)$
Let $y=2$
$9x-6y=-3$
$9x-6*2=-3$
$9x-12=-3$
$9x=9$
$9x/9 = 9/9$
$x=1$
$(1,2)$
