🧠 GRE Exam Prep

A line passes through the points (3, k) and (7, 10) and has a slope of 2. What is the value of k?

A 0
B 1
C 2
D 3

✓ Correct Answer: Option C

The slope formula is (y2 - y1) / (x2 - x1). So, (10 - k) / (7 - 3) = 2. This simplifies to (10 - k) / 4 = 2. Multiplying by 4 gives 10 - k = 8, so k = 2.

💡 Why is C) the correct answer?

The correct answer to the question "A line passes through the points (3, k) and (7, 10) and has a slope of 2. What is the value of k?" is Option C: 2.

The other options — A) 0, B) 1, D) 3 — are incorrect for this GRE Exam Prep question. As explained above: The slope formula is (y2 - y1) / (x2 - x1). So, (10 - k) / (7 - 3) = 2. This simplifies to (10 - k) / 4 = 2. Multiplying by 4 gives 10 - k = 8, so k = 2.

📚 About This GRE Exam Prep Practice Question

This 2-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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