Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -12x+3y=24$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -12x+3(0)=24$
Simplify.
$\Rightarrow -12x=24$
Divide each side by $-12$.
$\Rightarrow \frac{-12x}{-12}=\frac{24}{-12}$
Simplify.
$\Rightarrow x=-2$
The $x-$ intercept is $-2$, so plot the point $A=(-2,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -12(0)+3y=24$
Simplify.
$\Rightarrow 0+3y=24$
$\Rightarrow 3y=24$
Divide each side by $3$.
$\Rightarrow \frac{3y}{3}=\frac{24}{3}$
Simplify.
$\Rightarrow y=8$
The $y-$ intercept is $8$, so plot the point $B=(0,8)$
Draw a line through the points $A$ and $B$.
