Question

What is the slope of a line perpendicular to the line whose equation is y= 2x + 5?

slope = -1
Slope = -1/2
slope = -2

Answer 1

The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

Opposite → -2

Reciprocal → -1/2

Therefore, the answer is -1/2

Best of Luck!

Answer 2

The slope is -1/2 which is Option B

Explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example: Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y= 2x + 5

First, you flip the sign which makes 2 into -2

Next, you make the reciprocal which makes -2 into -1/2

Answer: The slope is -1/2 which is Option B