Answer
The $x$-intercept is $-2$
The $y$-intercept is $2$
See 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.
$y=x+2$
$0=x+2$
$x=-2$
The same thing should be done for the $y$-intercept, however, here $x=0$ should be plugged into the equation.
$y=x+2$
$y=0+2$
$y=2$
The $x$-intercept is $-2$ The $y$-intercept is $2$.
Few other points that will help us plot the graph:
If $x=-1$
$y=-1+2=1$
The point $(-1,1)$ is on the graph.
If $x=1$
$y=1+2=3$
The point $(1,3)$ is on the graph.
If $x=2$
$y=2+2=4$
The point $(2,4)$ is on the graph.
