Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -12x-3y=36$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -12x-3(0)=36$
Simplify.
$\Rightarrow -12x=36$
Divide each side by $-12$.
$\Rightarrow \frac{-12x}{-12}=\frac{36}{-12}$
Simplify.
$\Rightarrow x=-3$
The $x-$ intercept is $-3$, so plot the point $A=(-3,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -12(0)-3y=36$
Simplify.
$\Rightarrow 0-3y=36$
$\Rightarrow -3y=36$
Divide each side by $-3$.
$\Rightarrow \frac{-3y}{-3}=\frac{36}{-3}$
Simplify.
$\Rightarrow y=-12$
The $y-$ intercept is $-12$, so plot the point $B=(0,-12)$
Draw a line through the points $A$ and $B$.
