Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow x+3y=-9$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow x+3(0)=-9$
Simplify.
$\Rightarrow x=-9$
The $x-$ intercept is $-9$, so plot the point $A=(-9,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 0+3y=-9$
Simplify.
$\Rightarrow 3y=-9$
Divide each side by $3$.
$\Rightarrow \frac{3y}{3}=\frac{-9}{3}$
Simplify.
$\Rightarrow y=-3$
The $y-$ intercept is $-3$, so plot the point $B=(0,-3)$
Draw a line through the points $A$ and $B$.
