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.