Question

What must be true about the slopes of two perpendicular lines, neither of which is vertical?

Answer 1

Answer:

A

Step-by-step explanation:

Here, we are to select which of the options best answer the question. The correct answer here is that the product of the slopes of the two lines is -1.

When we talk about perpendicular lines, these are lines that are at an angle of 90 degrees to each other.

These lines have slopes of which their product is -1. What this means is that one of the slopes is a negative reciprocal of the other. By multiplying these two slopes together, we get -1.

Say we have two perpendicular lines with slopes m1 and m2 respectively, the product of both slopes is equal to -1.

Mathematically in this case;

m1 * m2 = -1