Question

Find an equation of the line perpendicular to Y equals 3X -3 and passes through the point -3 and -1

Answer 1

y = -
`(1)/(3)` x - 2

Explanation:

The equation of a line in slope- intercept form is

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

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(3)` , then

y = -
`(1)/(3)` x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 1 + c ⇒ c = - 1 - 1 = - 2

y = -
`(1)/(3)` x - 2 ← equation of perpendicular line