Question

consider the lines graphed in the coordinate plane. which lines are perpendicular to each other? line m and line p line m and line r line p and line s line s and line r

Explanation:

Step1: Recall perpendicular - line property

Two lines are perpendicular if the product of their slopes is - 1. A vertical line (undefined slope) is perpendicular to a horizontal line (slope = 0).

Step2: Analyze the lines

Line \(r\) is a vertical line (its equation is of the form \(x = a\)). Line \(p\) is a horizontal line (its equation is of the form \(y = b\)). The product of the slope of a vertical line (undefined, can be thought of as non - zero over zero) and the slope of a horizontal line (0) is effectively \(-1\) in the context of perpendicularity. Lines \(m\) and \(s\) have non - zero and non - vertical/horizontal slopes.

Answer:

Line \(p\) and line \(r\)