Question

Which set of ordered pairs represent a linear function?

{(3, 4), (5,-2), (6,-5), (9, -7)}
{(-2, 8), (1,5), (4,2), (7, -1)}
{(1, 2), (3, 3), (4,4), (7, 6)}
{(-4,4), (2, 3), (4, 2), (5, 1)}

Answer 1

{(-2, 8), (1,5), (4,2), (7, -1)} represents a linear function.

Explanation:

In order to get from an x-value of -2 to 1 you add 3.

In order to get from a y-value of 8 to 5 you subtract 3.

This pattern is consistent with each coordinate in the ordered pair.