Answer
x-intercept: $(\frac{4}{3},0)$
y-intercept: $(0,\frac{2}{3})$
Work Step by Step
$y=-\frac{1}{2}x+\frac{2}{3}$
Make $y=0$ to find the x-intercept:
$0=-\frac{1}{2}x+\frac{2}{3}$
$\frac{1}{2}x=\frac{2}{3}$
$x=\frac{2}{3}·2=\frac{4}{3}$
We have the point: $(\frac{4}{3},0)$
Make $x=0$ to find the y-intercept:
$y=-\frac{1}{2}(0)+\frac{2}{3}=0+\frac{2}{3}=\frac{2}{3}$
We have the point: $(0,\frac{2}{3})$
