In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of m? m = 2 m = 3 m = 19 m = 35

m= 19

Step-by-step explanation:

In a linear function the rate of change of y-variable respect x-variable must be constant. In mathematical terms:

Δy/Δx = constant

Given two points of the function: (x1, y1) and (x2, y2), Δy = (y2 -y1) and Δx = (x2 -x1).  So,

Δy/Δx = (11 -27)/(12-10) = -8

(m -27)/(11-10) = -8

(m -27) = -8*(11-10)

m = -8 + 27

m = 19

17 1/3

step-by-step explanation: