The slope of a line that is perpendicular to a line whose slope is -2/7 is

Solution:

Given, the slope of a line, m = -2/7

We have to find the slope of a line perpendicular to the given line.

We know that the product of the slope of a line and the slope of the other line that is perpendicular to it is -1.

m₁m₂ =-1

The slope for any perpendicular line is the negative reciprocal of the given slope.

Slope of perpendicular line = -1/m

So, slope of perpendicular line = -(1/(-2/7))

= 7/2

Therefore, the slope of the perpendicular line is 7/2.

The slope of a line that is perpendicular to a line whose slope is -2/7 is

Summary:

The slope of a line that is perpendicular to a line whose slope is -2/7 is 7/2.