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.