SAT Math Multiple Choice Question 319: Answer and Explanation

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Question: 319


Line P is shown in the coordinate plane here. If line Q (not shown) is the result of translating line P left 4 units and down 3 units, then what is the slope of line Q?

  • A.
  • B. -1
  • C.
  • D.

Correct Answer: D



Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: Don't jump right into translating the line. Think about how the translation would affect the slope-it wouldn't. Translating the line moves all the points by the same amount, so the slope doesn't change.

Getting to the Answer: Find the slope of line P by counting the rise and the run from one point to the next, and you'll have your answer. From the y-intercept (0, -2), the line rises 5 units and runs 2 units to the point (2, 3), so the slope is

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