SOLUTION: Which set of ordered pairs is a linear function? A. (–2, –1), (0, 1), (2, 1), (4, 1) B. (–2, 1), (0, 1), (2, 1), (4, –1) C. (–2, –1), (0, 1), (2, –1), (4, 1) D. (–2, 1),

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Question 1091385: Which set of ordered pairs is a linear function?
A. (–2, –1), (0, 1), (2, 1), (4, 1)
B. (–2, 1), (0, 1), (2, 1), (4, –1)
C. (–2, –1), (0, 1), (2, –1), (4, 1)
D. (–2, 1), (0, 1), (2, 1), (4, 1)

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!

A linear function (which graphs as a straight line)
is one where the ratio of change/difference in y-coordinate
to the change/difference in x-coordinate
for a pair of points
is the same,
no matter what pair of points you choose.
The choices A, B, C, and D,
have the same x-coordinates,
the very conveniently spaced -2, 0, 2, and 4,
spaced 2 units apart,
and listed in increasing value of x-coordinate.
For a linear function, the y-coordinates
should be spaced evenly too,
either increasing, decreasing, or staying the same
from one ordered pair to the next one in the list.

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