Line l passes through the points (-5,3) and (3,7) . If line m is perpendicular to line l, the slope of line m is equal to

Question

asked Aug 13, 2023 139k views

1 Answer

Runevault · Answer 1 · 2023-08-17T01:05:03+0000

EXPLANATION

Given the points (x_1,y_1) = (-5,3) and (x_2,y_2) = (3,7), we can compute the slope applying the following relationship:

$\text{Slope }=\text{ }(y_2-y_1)/(x_2-x_1)$

Replacing terms:

$\text{Slope}=((7-3))/((3-(-5)))$

Subtracting numbers and simplifying:

$\text{Slope}=(4)/(8)=(1)/(2)$

The slope of the line m that would be perpendicular to the line l is the one whose slope is negative and reciprocal. That slope is --> -2