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