# SAT Math Multiple Choice Question 789: Answer and Explanation

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**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).