Question

Which ordered pairs do not belong to a linear function in the form below?

y= kx+ b


A. (0, 1); (1, 0); (2, -1)

B. (0, 1); (1, 2); (2,5)

C. (-2,5); (-1, 2); (0, -1)

D. (-2, 1); (-1, 1); (0, 1)​

Answer 1

B. (0, 1); (1, 2); (2,5)

Explanation:

All of the given answer choices have x-values that are sequential. A linear function will have y-values that are also evenly spaced.

A: 0-1 = -1, -1-0 = -1 . . . . differences are the same

B: 2-1 = 1, 5-2 - 3 . . . . . differences are not the same, not a linear function

C: 2-5 = -3, -1-2 = -3 . . . . differences are the same

D: 1-1 = 0, 1-1 = 0 . . . . differences are the same