Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow y=-2x+5$
For the vertical intercept plug $x=0$.
$\Rightarrow y=-2(0)+5$
Simplify.
$\Rightarrow y=5$
The vertical intercept is $A=(0,5)$
Slope is $m=-2=\frac{-2}{1}$, so the rise is $-2$ when the run is $1$.
Starting at $(0,5)$ and going down $2$ and over $1$, we get to $B=(1,3)$.
Repeat the same to get the next point $C=(2,1)$.
By using theses three points draw a line.
