Answer
The $x$-intercept is $-4$.
The $y$-intercept is $8$.
Refer to the graph below.
Work Step by Step
In order to find the $x$-intercept, we have to plug $y=0$ into the equation, and the $x$-coordinate will give us the intercept itself.
$y=2x+8$
$0=2x+8$
$x=-4$
The same thing should be done for the $y$-intercept, however, here $x=0$ should be plugged into the equation.
$y=2x+8$
$y=2(0)+8$
$y=8$
The $x$-intercept is $-4$ and the $y$-intercept is $8$.
Few other points that will help us plot the graph:
If $x=-5$
$y=2(-5)+8=-2$
The point $(-5,-2)$ is on the graph.
If $x=-3$
$y=2(-3)+8=2$
The point $(-3,2)$ is on the graph.
If $x=-2$
$y=2(-2)+8=4$
The point $(-2,4)$ is on the graph.
