SAT Math Multiple Choice Question 787: Answer and Explanation

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Question: 787

7. A line in the xy-plane that passes through the coordinate points (3, -6) and (–7, –4) will never intersecta line that is represented by which of the following equations?

  • A.
  • B.
  • C.
  • D.

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: Two lines that never intersect are parallel lines, which means they have the same slope.

Getting to the Answer: Start by finding the slope of the line between the two given points: Now, find the equation that has a slope of by rewriting the equations in slope-intercept form. Start with (A):

The slope of the line is - , and there can only be one correct answer, so there is no need to check the other choices-(A) is correct.

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