Question

Determine the rate of change of the linear function given the table below.
x y
2 2
3 1
4 2
5 5
6 10


m=

Answer 1

The rate of change, or slope, of a linear function can be determined by finding the difference in y values divided by the difference in x values between any two points on the line.

Using the points (2, 2) and (6, 10):
m = (10 - 2) / (6 - 2)
m = 8 / 4
m = 2

Therefore, the rate of change of the linear function is 2.