Answer
$\text{x-intercept}=4$
$\text{y-intercept}=-2$
Work Step by Step
$-4x+8y=-16$
To find the x-intercept, we substitute $0$ for $y$ and then solve for $x$
$-4x+8(0)=-16$
$\implies -4x=-16$
$\implies x=\frac{-16}{-4}=4$
To find the y-intercept, we substitute $0$ for $x$ and then solve for $y$.
$-4(0)+8y=-16$
$\implies 8y=-16$ or $y=\frac{-16}{8}=-2$