Which of the following tables represents a linear function?

Question

x −2 −1 0 2 4
y −4 negative two thirds −1 two thirds 1

x −3 −1 0 1 5
y −7 negative nine halves negative thirteen fourths −2 3

x −2 −1 0 2 4
y −4 −2 −1 0 1

x −4 −1 0 1 2
y −4 2 −4 0 2

Answer 1

The third table represents a linear function because for every increase in x by 1, the value of y increases by 1, indicating a constant rate of change.