Question

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

Answer 1

-
`(1)/(5)`

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(1-(-4))/(1-0)` =
`(1+4)/(1)` = 5

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(5)`