SAT Math Multiple Choice Question 636: Answer and Explanation

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Question: 636

6. Which of the following points is NOT on the graph of the line -2x - 3y = 36 in the xy-plane?

  • A. (-9, 6)
  • B. (-24, 4)
  • C. (6, -16)
  • D. (12, -20)

Correct Answer: A

Explanation:

A

Algebra (linear equations) MEDIUM

We can test each point to find the one that does NOT satisfy the equation.

(A) -2(-9) - 3(6) = 18 - 18 = 0 ≠ 36

(B) -2(-24) - 3(4) = 48 - 12 = 36

(C) -2(6) - 3(-16) = -12 + 48 = 36

(D) -2(12) - 3(-20) = -24 + 60 = 36

Therefore, the correct answer is (A).

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