Question

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

Answer 1

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:

$\text{Slope }=\text{ }\frac{y_2-y_1}{x_2-x_1}$

Replacing terms:

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

Subtracting numbers and simplifying:

$\text{Slope}=\frac{4}{8}=\frac{1}{2}$

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