Question

Determine the slope of a line that is Perpendicular to the line that goes

through the points (-3, 8) and (-9,3)

Answer 1

slope = -
`(6)/(5)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)

m =
`(3-8)/(-9+3)` =
`(-5)/(-6)` =
`(5)/(6)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/((5)/(6) )` = -
`(6)/(5)`