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

Solution:

We have to find the slope of a line perpendicular to the line y = 2x + 5

The slope-intercept form of a linear equation is y = m\(_1\)x + b

Where m is the slope and b is the y-intercept value

Comparing it with the given equation

m\(_1\) = 2

The slope-intercept form of the perpendicular line is y = m\(_2\)x + b

The formula for the slope of a perpendicular line

m\(_1\)m\(_2\) = -1

2 m\(_2\) = -1

m\(_2\) = -1/2

Therefore, the slope of a line is -1/2.

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

Summary:

The slope of a line perpendicular to the line whose equation is y = 2x + 5 is - 1/2.