Question

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

Answer 1

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.