Question

Select the equations that are parallel and perpendicular to y = −3x − 1 and that pass through the point (3, 1).


A. parallel: y = −3x + 6
perpendicular: y = (1/3)x + 2(2/3)

B. parallel: y = −3x + 10
perpendicular: y = (1/3)x

C. parallel: y = -(1/3)x
perpendicular: y = −3x

D. parallel: y = (1/3)x + 1
perpendicular: y = 3x − 1

Answer 1

I think that that the answer is B because the slopes of parallel lines are the same but the slopes of perpendicular lines are related such that the slope of line B = the reciprocal of line A with a different sign either positive or negative