Question

the product of the slopes of q and r is 1. the product of the slopes of q and r is - 1. the slope of q must be the slope of r multiplied by - 1. the slope of q must be equal to the slope of r.

Explanation:

Step1: Recall slope - perpendicularity relationship

If two non - vertical lines are perpendicular, the product of their slopes is - 1.

Step2: Analyze the options

We need to find the correct statement about the slopes of two lines \(q\) and \(r\) (assuming they are non - vertical). Option A says the product of the slopes is 1, which is incorrect for perpendicular lines. Option C says one slope is the other multiplied by - 1, which is wrong. Option D says the slopes are equal, which is for parallel lines. Option B says the product of the slopes of \(q\) and \(r\) is - 1, which is the correct property for perpendicular lines.

Answer:

B. The product of the slopes of \(q\) and \(r\) is - 1.