Question

Find the slope of a line perpendicular to the line whose equation is x + 6y = -24.

Fully simplify your answer.

Answer 1

`m_(perpendicular)` = 6

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = -
`(1)/(6)` x - 4 ← in slope- intercept form

with slope m = -
`(1)/(6)`

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

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