Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow 4x+6y=12$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow 4x+6(0)=12$
Simplify.
$\Rightarrow 4x=12$
Divide each side by $4$.
$\Rightarrow \frac{4x}{4}=\frac{12}{4}$
Simplify.
$\Rightarrow x=3$
The $x-$ intercept is $3$, so plot the point $A=(3,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow 4(0)+6y=12$
Simplify.
$\Rightarrow 0+6y=12$
$\Rightarrow 6y=12$
Divide each side by $6$.
$\Rightarrow \frac{6y}{6}=\frac{12}{6}$
Simplify.
$\Rightarrow y=3$
The $y-$ intercept is $2$, so plot the point $B=(0,2)$
Draw a line through the points $A$ and $B$.
