Answer
Please see the graph.
Work Step by Step
$4x-6y+2=0$
$4x-6y=-2$
Let $y=0$ (x-intercept)
$4x-6y=-2$
$4x-6*0=-2$
$4x-0=-2$
$4x=-2$
$4x/4 = -2/4$
$x= -1/2$
$(-.5,0)$
Let $x=0$ (y-intercept)
$4x-6y=-2$
$4*0-6y=-2$
$0-6y=-2$
$-6y=-2$
$-6y/-6=-2/-6$
$y=1/3$
$(0, 1/3)$
Let $y=3$
$4x-6y=-2$
$4x-6*3=-2$
$4x-18=-2$
$4x=16$
$4x/4=16/4$
$x=4$
$(4,3)$
