A line L passes through the point (3, 4) and is parallel to the line given by the equation 2x + 3y = 6. What is the y-intercept of line L?

A -2/3

B 2

C 6

D 17/3

✓ Correct Answer: Option C

The line 2x + 3y = 6 has a slope of -2/3. Since line L is parallel, its slope is also -2/3. Using the point-slope form y - 4 = (-2/3)(x - 3), we simplify to y = (-2/3)x + 2 + 4, which is y = (-2/3)x + 6. The y-intercept is 6.

💡 Why is C) the correct answer?

The correct answer to the question "A line L passes through the point (3, 4) and is parallel to the line given by the equation 2x + 3y = 6. What is the y-intercept of line L?" is Option C: 6.

The other options — A) -2/3, B) 2, D) 17/3 — are incorrect for this GRE Exam Prep question. As explained above: The line 2x + 3y = 6 has a slope of -2/3. Since line L is parallel, its slope is also -2/3. Using the point-slope form y - 4 = (-2/3)(x - 3), we simplify to y = (-2/3)x + 2 + 4, which is y = (-2/3)x …

📚 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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A line L passes through the point (3, 4) and is parallel to the line given by the equation 2x + 3y = 6. What is the y-intercept of line L?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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