Question

Can someone help and explain the probelm I don't get it.

Find the function rule

X= -2,-1,0,1,2

Y= 9,4,-1,-6,-11

Answer 1

y = -5x -1

Explanation:

For this function, the outputs decrease by 5.

9 - 5 = 4

4-5 = -1

-1 - 5 = -6

etc.

This is the rate of change. It's constant and so it linear. Then the slope is -5.

Use the form y=mx+b for the function rule.

m = -5 and b = -1 (since b is the y-intercept when x=0).

y = -5x - 1