Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -4x+2y=16$
$x-$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -4x+2(0)=16$
Simplify.
$\Rightarrow -4x+0=16$
$\Rightarrow -4x=16$
Divide each side by $-4$.
$\Rightarrow \frac{-4x}{-4}=\frac{16}{-4}$
Simplify.
$\Rightarrow x=-4$
The $x−$ intercept is $-4$, so plot the point $A=(-4,0)$
$y-$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -4(0)+2y=16$
Simplify.
$\Rightarrow 0+2y=16$
$\Rightarrow 2y=16$
Divide each side by $2$.
$\Rightarrow \frac{2y}{2}=\frac{16}{2}$
Simplify.
$\Rightarrow y=8$
The $y−$ intercept is $8$, so plot the point $B=(0,8)$.
Draw a line through the points A and B.
