# SAT Math Multiple Choice Question 767: Answer and Explanation

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**Question: 767**

**2.**

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.
- B.
- C.
- D.

**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:

Cross-multiply:

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

Simplify:

2*ay* = 2*bx* + *b*

Divide by 2*a*:

Simplify:

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