Answer:
see below
Step by Step
Parallel lines have the same slope.
Perpendicular lines have opposite reciprocal slopes (flip and change sign)
line m- neither (5/2 is the reciprocal of 2/5 but not the opposite reciprocal)
line n- perpendicular (-5/2 is the opposite reciprocal of 2/5 so it is perpendicular)
line p- parallel (same slope)
line q- neither