What is the equation of the line that passes through the point (2, -3) and is perpendicular to the line 2x + 4y = 8?

A y = -2x + 1

B y = -2x - 7

C y = 2x - 7

D y = 2x + 1

✓ Correct Answer: Option C

First, find the slope of 2x + 4y = 8. 4y = -2x + 8, so y = (-1/2)x + 2. The slope is -1/2. The slope of a perpendicular line is the negative reciprocal, which is 2. Using point-slope form: y - (-3) = 2(x - 2) => y + 3 = 2x - 4 => y = 2x - 7.

💡 Why is C) the correct answer?

The correct answer to the question "What is the equation of the line that passes through the point (2, -3) and is perpendicular to the line 2x + 4y = 8?" is Option C: y = 2x - 7.

The other options — A) y = -2x + 1, B) y = -2x - 7, D) y = 2x + 1 — are incorrect for this GRE Exam Prep question. As explained above: First, find the slope of 2x + 4y = 8. 4y = -2x + 8, so y = (-1/2)x + 2. The slope is -1/2. The slope of a perpendicular line is the negative reciprocal, which is 2. Using point-slope form: y - (-3) =…

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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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What is the equation of the line that passes through the point (2, -3) and is perpendicular to the line 2x + 4y = 8?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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