Find the slope of a line perpendicular to a line through the given points. E(5, 7), F(3, 1)

Mathematics · High School · Mon Jan 18 2021

Answered on

Given:

(5, 7)

(3, 1)

x1 = 5

x2 = 7

y1= 3

y2 = 1

Find the slope of the line.

Formula for the slope of the line:

m = change in y/ change in x

m = (y2 - y1)/(x2 - x1)

Solution:

Substitute the given values to the formula for the slope of the line.

m = (y2 - y1)/(x2 - x1)

m = (1 - 3)/(7 - 5)

m = (-2)/(2)

m = -1

Final answer:
The slope of the line = 1