Step-by-step explanation:
If two lines are parallel, their slopes are equal.
If two lines are perpendicular, their slopes are negative reciprocals; that means that their slopes multiply to -1.
The given line has slope -6.
Line q: slope -1/6; -1/6 * 6 = -1; line q is perpendicular.
Line p: slope 1/6; 1/6 * 6 = 1; line p is neither parallel nor perpendicular.
Line n: slope = -6; -6 = -6; line n is parallel to the given line
Line m: slope = 6; line m is neither parallel nor perpendicular.
