Answer:
Yes
Explanation:
Yes, the lines represented by the equations y=x-3 and x-y=8 are parallel. To see why, you can write both equations in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept. For the equation y=x-3, the slope is 1 and the y-intercept is -3. For the equation x-y=8, you can solve for y to get y=x-8, so the slope is also 1 and the y-intercept is -8. Since the slopes are equal, the lines are parallel.