Question

I NEED MEGA HELP WITH THIS QUESTION

Answer 1

C.
`y = - (1)/(4) x - 2`

Explanation:

To find slope using coordinates, use the formula above.

`(4, - 3) \: (0, - 2)→ ( - 2 - ( - 3))/(0 - 4)→ ( - 2 + 3)/( - 4) → - (1)/(4)`

Now, using the
`y = mx + b` formula, plug in
`- (1)/(4)` as
`m` (slope) and either coordinate as the
`x` and
`y` values. It looks like this:

`- 3 = - (1)/(4)(4) + b`

To solve for
`b`, continue to use PEMDAS.

`- 3 = - (1)/(4)(4) + b→ - 3 = - 1 + b→ - 2 = b`

Now use
`m` and
`b` to solve for your equation:

`y = - (1)/(4) x - 2`

The answer is C.