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Tables, Graphs, and Equations

Question 7 • GA-8th Grade Mathematics

Which of the points does not fall on the same line as the other three points?

Answer
A
(-4, 4)
B
(0, 2)
C
(2, 1)
D
(4, -1)

Explanation

Find the slope between pairs of points. From A to B, the slope is (2 − 4) / (0 − (−4)) = −2/4 = −1/2, and from B to C it is (1 − 2) / (2 − 0) = −1/2, so A, B, and C lie on the same line. Continuing that slope from C at (2, 1) to x = 4 gives y = 0, not −1. Therefore, (4, −1), choice D, does not fall on their line.

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