Question

Write the slope intercept form through (-1, -1), perp to y= 1/3x -3

Answer 1

y = - 3x - 4

Explanation:

The equation of a line in slope- intercept form is

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

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

with slope m =
`(1)/(3)`

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

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

y = - 3x + c ← is the partial equation

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

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = - 3x - 4 ← equation of perpendicular line