SAT Math Multiple Choice Question 789: Answer and Explanation

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Test Information

Question: 789

9. If the slope of the equation shown above is 6, what is the value of c?

  • A. –4
  • B. -
  • C.
  • D. 4

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: Don't overthink a question like this. It is asking about slope and you have an equation, so write the equation in slope-intercept form and see where that takes you.

Getting to the Answer: When an equation is written in slope-intercept form (y = mx + b), m is the slope of the line. Rewrite the given equation in this form by subtracting from both sides and then dividing both sides by c:

Now, set the coefficient of x equal to the given slope (6) and solve for c. The coefficient is a fraction, so write 6 as and cross-multiply:

The value of c is - , which is (B).

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