SAT Math Multiple Choice Question 655: Answer and Explanation

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Question: 655

10. The equation y = kx - 1, where k is a constant, describes a line in the xy-plane. If the graph of this line contains the point (a, b), where a and b are nonzero, what is the value of k in terms of a and b?

  • A. Images
  • B. Images
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  • D. Images

Correct Answer: A

Explanation:

A

Algebra (linear equations) MEDIUM

Original equation:

y = kx - 1

Substitute x 5 a and y 5 b:

y = ka - 1

Add 1:

b + 1 = ka

Divide by a:

Images

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