Answer
Their graphs are parallel lines.
Work Step by Step
RECALL:
(1) In the slope-intercept form of a line's equation, $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept.
(2) Parallel lines have equal or the same slope.
Write both equations in slope-intercept form to obtain:
First Equation:
$y=x+2$
Second Equation:
$y-x=-2
\\y-x+x=-2+x
\\y=x-2$
Note that both equations have the same slope $m=1$ .
Since they have the same slope, then their graphs are parallel lines.