Question

Please help i'd really appreciate it.

Answer 1

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

with slope m = - 4

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

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

y =
`(1)/(4)` x + c ← is the partial equation of the perpendicular line

To find c substitute (8, 1 ) into the partial equation

1 = 2 + c ⇒ c = 1 - 2 = - 1

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

Answer 2

The answer is
Y= 4x + 4