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