slope = -3/4
A parallel line will have the same slope. Therefore, line q with a slope of -3/4, is ur parallel line.
A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So if we have a slope of -3/4.....and we flip it making it -4/3...and we change the sign, making it 4/3. So the perpendicular line will have a slope of 4/3. Therefore, line n, with a slope of 4/3 is ur perpendicular line.
In summary :
line q, with a slope of -3/4 is parallel
line n, with a slope of 4/3 is perpendicular
line m and line p are neither
