Question

Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?

Answer 1

Answer:

  Table B

Step-by-step explanation:

The table represents a linear function if the ratio of change in y (∆y) to change in x (∆x) is a constant.

A — first two points: ∆y/∆x = (1-2)/(3-0) = -1/3

  second two points: ∆y/∆x = (6-1)/(4-3) = 5 ≠ -1/3

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B — first two points: ∆y/∆x = (2-(-3))/(4-(-1)) = 5/5 = 1

  second two points: ∆y/∆x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.

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C — first two points: ∆y/∆x = (0-(-2))/(0-(-3)) = 2/3

  second two points: ∆y/∆x = (4-0)/(2-0) = 4/2 = 2 ≠ 2/3

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D — first two points: ∆y/∆x = (-2-(-7))/(0-5) = 5/-5 = -1

  second two points: ∆y/∆x = (2-(-2))/(2-0) = 4/2 = 2 ≠ -1