Which table of values represents a linear function?

A
xx yy
minus, 3−3 00
minus, 1−1 11
33 33
55 44
B
xx yy
minus, 4−4 00
minus, 3−3 22
minus, 1−1 44
11 66
C
xx yy
minus, 7−7 33
minus, 2−2 00
33 minus, 3−3
88 minus, 7−7
D
xx yy
minus, 6−6 44
minus, 4−4 33
minus, 1−1 11
11 00

1 answer

The table of values that represents a linear function is table A.

This is because in a linear function, the change in y is directly proportional to the change in x. In table A, as x increases by 2, y increases by 1. And as x decreases by 2, y decreases by 1. This shows a constant rate of change and is characteristic of a linear function.
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