Question

Find the function rule
x -2 -1 0 1 2
y 9 4 -1 -6 -11
I don't know how to do this and my lesson was no help, does anyone know any sites that may help me understand how to do this?

Answer 1

notice for each increase in x of one, y goes down by 5, so it is a linear equation.
general form: y=mx+b
using two data points (-2,9; 2, -11)
9=-2m+b
-11=2m+b

add the equations

-2=2b or b=-1
with b=-1, then
9=m(-2)-1
m=-5
y=-5x-1 should do it.

Answer 2

Thank you