A line passes through the points (2, 5) and (4, k). If the slope of the line is 3, what is the value of k?

A 7

B 9

C 11

D 13

✓ Correct Answer: Option C

The slope of a line is calculated as (y₂ - y₁) / (x₂ - x₁). Given points (2, 5) and (4, k) with a slope of 3, we have 3 = (k - 5) / (4 - 2). Simplifying, 3 = (k - 5) / 2. Multiply by 2: 6 = k - 5. Therefore, k = 11.

💡 Why is C) the correct answer?

The correct answer to the question "A line passes through the points (2, 5) and (4, k). If the slope of the line is 3, what is the value of k?" is Option C: 11.

The other options — A) 7, B) 9, D) 13 — are incorrect for this GRE Exam Prep question. As explained above: The slope of a line is calculated as (y₂ - y₁) / (x₂ - x₁). Given points (2, 5) and (4, k) with a slope of 3, we have 3 = (k - 5) / (4 - 2). Simplifying, 3 = (k - 5) / 2. Multiply by 2: 6 = k - 5. Th…

📚 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.

Practice GRE Exam Prep Quizzes → Browse All Questions Study Flashcards

A line passes through the points (2, 5) and (4, k). If the slope of the line is 3, what is the value of k?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

Related GRE Exam Prep Questions