Find the function rule.

Question

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

Answer 1

looks like for every increase of 1 in the x, the y decreases by 5
so the slope = change in y/change in x = -5
notice (0,-1) is the y-intercept, so

y = -5x - 1

Answer 2

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