Question

What is the slope of a line that is perpendicular to the line shown?

Answer 1

-1/3 is the answer to your question

Answer 2

(a)

Explanation:

Calculate the slope m of the given line using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)

m =
`(3+1)/(3+3)` =
`(4)/(6)` =
`(2)/(3)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((2)/(3) )` = -
`(3)/(2)` → (a)