SAT Math Multiple Choice Question 767: Answer and Explanation

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Question: 767

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If a and b are non-zero constants in the linear equation above, what is the slope of this line when it is graphed in the xy-plane?

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

Correct Answer: A

Explanation:

A

Algebra (linear equations) MEDIUM-HARD

Perhaps the best way to find the slope of the line is to get the equation into "slope-intercept form" (Chapter 7, Lesson 5).

Original equation:

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Cross-multiply:

a(2y) = b(2x + 1)

Simplify:

2ay = 2bx + b

Divide by 2a:

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Simplify:

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Therefore, the slope of the line is b/a.

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