Question

what must be true to prove that q ⊥ n?
a. the slope of q must be the reciprocal of the slope of n
b. the slope of q must be the negative reciprocal of the slope of n
c. the slope of q must be the slope of n multiplied by - 1
d. the slope of q must be 1 divided by the slope of n

Explanation:

Step1: Recall perpendicular - line slope rule

Two non - vertical lines are perpendicular if and only if the product of their slopes is - 1. Let the slope of line $q$ be $m_q$ and the slope of line $n$ be $m_n$. Then $m_q\times m_n=-1$, which implies $m_q =-\frac{1}{m_n}$. In other words, the slope of one line is the negative reciprocal of the slope of the other line.

Answer:

B. The slope of $q$ must be the negative reciprocal of the slope of $n$