Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -\frac{1}{2}x+y=-4$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -\frac{1}{2}x+0=-4$
Simplify.
$\Rightarrow -\frac{1}{2}x=-4$
Multiply each side by $-2$.
$\Rightarrow -2(-\frac{1}{2}x)=-2(-4)$
Simplify.
$\Rightarrow x=8$
The $x-$ intercept is $8$, so plot the point $A=(8,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -\frac{1}{2}(0)+y=-4$
Simplify.
$\Rightarrow 0+y=-4$
$\Rightarrow y=-4$
The $y-$ intercept is $-4$, so plot the point $B=(0,-4)$
Draw a line through the points $A$ and $B$.
