Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -2x+6y=18$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -2x+6(0)=18$
Simplify.
$\Rightarrow -2x=18$
Divide each side by $-2$.
$\Rightarrow \frac{-2x}{-2}=\frac{18}{-2}$
Simplify.
$\Rightarrow x=-9$
The $x-$ intercept is $-9$, so plot the point $A=(-9,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -2(0)+6y=18$
Simplify.
$\Rightarrow 0+6y=18$
$\Rightarrow 6y=18$
Divide each side by $6$.
$\Rightarrow \frac{6y}{6}=\frac{18}{6}$
Simplify.
$\Rightarrow y=3$
The $y-$ intercept is $3$, so plot the point $B=(0,3)$
Draw a line through the points $A$ and $B$.
