📊 GMAT Exam Prep

In the xy-plane, if a line passes through the points (3, 5) and (k, 11) and has a slope of 2, what is the value of k?

A 4
B 6
C 7
D 8

✓ Correct Answer: Option B

The slope formula is m = (y2 - y1) / (x2 - x1). Substitute the given values: 2 = (11 - 5) / (k - 3). This simplifies to 2 = 6 / (k - 3). So, 2(k - 3) = 6, which means k - 3 = 3. Therefore, k = 6.

💡 Why is B) the correct answer?

The correct answer to the question "In the xy-plane, if a line passes through the points (3, 5) and (k, 11) and has a slope of 2, what is the value of k?" is Option B: 6.

The other options — A) 4, C) 7, D) 8 — are incorrect for this GMAT Exam Prep question. As explained above: The slope formula is m = (y2 - y1) / (x2 - x1). Substitute the given values: 2 = (11 - 5) / (k - 3). This simplifies to 2 = 6 / (k - 3). So, 2(k - 3) = 6, which means k - 3 = 3. Therefore, k = 6.

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

Related GMAT Exam Prep Questions