Question

What is the slope of a line that is perpedicular to the line with the equation y=-1/4x-2/3

Answer 1

slope of perpendicular line = 4

Explanation:

the equation of a line in slope- intercept form is

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

given the line with equation

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

with slope m = -
`(1)/(4)`

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

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