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

slope = - 1

Slope = - 1/2

slope = - 2

The slope is - 1/2 which is Option B

Step-by-step 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

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!