Question

What is the soap of a line that is perpendicular to a line who’s equation is 3Y equals negative 4X +2

Answer 1

slope =
`(3)/(4)`

Explanation:

The equation of a line in slope- intercept form is

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

Rearrange 3y = - 4x + 2 into this form by dividing all terms by 3

y = -
`(4)/(3)` x +
`(2)/(3)` ← in slope- intercept form

with slope m = -
`(4)/(3)`

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(4)/(3) )` =
`(3)/(4)`