Question

Need help with this problem

Answer 1

y =
`(4)/(3)` x

Explanation:

The equation of a line in slope- intercept form is

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

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

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

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

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

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

To find c substitute (9, 12) into the partial equation

12 = 12 + c ⇒ c = 12 - 12 = 0

y =
`(4)/(3)` x + 0 , which simplifies to

y =
`(4)/(3)` x