Answer
The $x-$ intercept is $-4$.
The $y-$ intercept is $\frac{1}{2}$.
Work Step by Step
The given linear equation is
$\Rightarrow -x+8y=4$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -x+8(0)=4$
Simplify.
$\Rightarrow -x-0=4$
$\Rightarrow -x=4$
Multiply each side by $-1$.
$\Rightarrow -1(-x)=-1(4)$
Simplify.
$\Rightarrow x=-4$
The $x-$ intercept is $-4$.
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -(0)+8y=4$
Simplify.
$\Rightarrow 0+8y=4$
$\Rightarrow 8y=4$
Divide each side by $8$.
$\Rightarrow \frac{8x}{8}=\frac{4}{8}$
Simplify.
$\Rightarrow x=\frac{1}{2}$
The $y-$ intercept is $\frac{1}{2}$.
