I need some help on this function rule question please.

Question

8.) Find the function rule.
x: -2 -1 0 1 2
y: 9 4 -1 -6 -11

I'm having a really hard time figuring this out. Thanks to anyone that helps:)

Answer 1

Note that y decreases by 5 when x increases by 1. So, start with

y = -5x

Now note that y(0) = -1, so you need to adjust the function a bit:

y = -5x-1

Answer 2

Anyone know how to help?

Answer 3

The function rules is:
y = -5x - 1

9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1

Answer 4

Is this the right answer