Question

Can anyone possibly help me

Answer 1

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

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 + 5 is in this 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)`

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

To find c substitute (- 9, 4) into the partial equation

4 = 3 + c ⇒ c = 4 - 3 = 1

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