They are both straight lines and parallel to each other. Their slopes are the same.
y = mx + b is one general form of the equation of a straight line,.
if we compare this to y = x + 7 and y = x - 5 we see that they both have the same slope of 1.
y = x + 7 will have a y intercept of (0,7) and y = x - 5 has y intercept of (0,-5)