Il two lines are perpendicular which statement must be true?

Question

A. Their slopes are opposites.
B. Their slopes are reciprocals
C. Their slopes are equali
D. Their slopes are negative reciprocals

Answer 1

The correct answer is:

D. Their slopes are negative reciprocals.

When two lines are perpendicular, the product of their slopes is -1. This means that if the slope of one line is \( m \), the slope of the other line will be \( -\frac{1}{m} \), which makes them negative reciprocals of each other.