Question

what must be true to prove that q ⊥ n? a. the product of the slopes of q and n is 1. b. the product of the slopes of q and n is -1. c. the slope of q must be the slope of n multiplied by -1. d. the slope of q must be equal to the slope of n.

Explanation:

Step1: Recall perpendicular - line slope rule

The rule for two non - vertical lines to be perpendicular is that the product of their slopes is - 1. If the slope of line $q$ is $m_q$ and the slope of line $n$ is $m_n$, then for $q\perp n$, we must have $m_q\times m_n=-1$.

Answer:

B. The product of the slopes of $q$ and $n$ is - 1.