Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow y=2x-7$
For the vertical intercept plug $x=0$.
$\Rightarrow y=2(0)-7$
Simplify.
$\Rightarrow y=-7$
The vertical intercept is $A=(0,-7)$
Slope is $m=2=\frac{2}{1}$, so the rise is $2$ when the run is $1$.
Starting at $(0,-7)$ and going up $2$ and over $1$, we get to $B=(1,-5)$.
Repeat the same to get the next point $C=(2,-3)$.
By using theses three points draw a line.