Question

Which set of ordered pairs (x, y) could represent a linear function?

A = {(0,7), (1,5), (2, 2), (3,-1)}
B = {(3,5), (5,2), (7,-1), (8,4)}
C= {(0,7), (1,3), (3,-1), (5,-5)}
D = {(-3,2), (-1,4), (1,6), (3,8)}

Answer 1

Answer is D. (-3, 2), (-1, 4), (1, 6), (3, 8)

Step by step

To be a linear function it must be a straight line.
For the ordered pairs to be a straight line, they must have the same slope.

To find slope use formula
(y2 - y1) over (x2 - x1)

I attached the pairs with the slopes I found using this formula for two different pairs.

A, B, and C are NOT linear functions (straight lines) because they had varied slope values.

D. has the same slope so it is the correct answer.