SAT Math Multiple Choice Question 776: Answer and Explanation

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Question: 776

11. In the xy-plane, points A(2, 5) and B(-12, k) lie on a line that has a slope of Images What is the value of k?

  • A. 13
  • B. 16.5
  • C. 18
  • D. 29.5

Correct Answer: A

Explanation:

A

Algebra (graphs of linear equations) MEDIUM

Recall the slope formula from Chapter 7, Lesson 5:

Images

Since the slope equals Images:

Cross-multiply:

7k - 35 = 56

Add 35:

7k = 91

Divide by 7:

k = 13

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