what is the function rule for x-2,y9,x-1,y4,x0,y-1,x1,y-6,x2,y-11

x y

-2 9
-1 4
0 -1
1 -6
2 -11

Note that as x goes up by 1, y goes down by 5. So, start with

y = -5x

Now, y(0) = -1, so the rule is

y = -5x-1