SAT Math Multiple Choice Question 245: Answer and Explanation

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Test Information

Question: 245


If line L shown here is reflected over the x-axis, what is the slope of the new line?

  • A. -2
  • B.
  • C.
  • D. 2

Correct Answer: B



Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: You can approach this question conceptually or concretely. Drawing a quick sketch is most likely the safest approach.

Getting to the Answer: Line L shown in the graph rises from left to right, so it has a positive slope. Once reflected over the x-axis, it will fall from left to right, so the new line will have a negative slope. This means you can eliminate C and D. Now, draw a quick sketch of the reflected line on the coordinate plane in your test booklet and count the rise (or fall) and the run from one point to the next.

The reflected line falls 2 units and runs 4 units, so the slope is which reduces to

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