🧠 GRE Exam Prep

What is the slope of the line perpendicular to the line passing through points (2, 3) and (-1, 5)?

A -3/2
B -2/3
C 2/3
D 3/2

✓ Correct Answer: Option D

The slope of the line passing through (2,3) and (-1,5) is (5-3)/(-1-2) = 2/(-3) = -2/3. The slope of a perpendicular line is the negative reciprocal, which is -1/(-2/3) = 3/2.

💡 Why is D) the correct answer?

The correct answer to the question "What is the slope of the line perpendicular to the line passing through points (2, 3) and (-1, 5)?" is Option D: 3/2.

The other options — A) -3/2, B) -2/3, C) 2/3 — are incorrect for this GRE Exam Prep question. As explained above: The slope of the line passing through (2,3) and (-1,5) is (5-3)/(-1-2) = 2/(-3) = -2/3. The slope of a perpendicular line is the negative reciprocal, which is -1/(-2/3) = 3/2.

📚 About This GRE Exam Prep Practice Question

This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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