Question

Find the slope of the line that is perpendicular to the line graphed in the figure​

Answer 1

Answer:

- $\frac{1}{5}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = $\frac{1-(-4)}{1-0}$ = $\frac{1+4}{1}$ = 5

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{5}$