Answer
The graph is shown below.
Work Step by Step
The given equation of the line is
$\Rightarrow f(x)=-2x+4$
Let $f(x)=y$.
$\Rightarrow y=-2x+4$
Plug $y=0$ for the $x−$intercept.
$\Rightarrow 0=-2x+4$
Add $2x$ to both sides.
$\Rightarrow 0+2x=-2x+4+2x$
Simplify.
$\Rightarrow 2x=4$
Divide both sides by $2$.
$\Rightarrow \frac{2x}{2}=\frac{4}{2}$
Simplify.
$\Rightarrow x=2$
The $x−$intercept is $2$, so the line passes through $(2,0)$.
Plug $x=0$ for the $y−$intercept.
$\Rightarrow y=-2(0)+4$
Simplify.
$\Rightarrow y=4$
The $y−$intercept is $4$, so the line passes through $(0,4)$.
Checkpoint plug $x=1$.
$\Rightarrow y=-2(1)+4$
Simplify.
$\Rightarrow y=-2+4$
Simplify.
$\Rightarrow y=2$
The checkpoint is $(1,2)$.
Draw a straight line through these three points.