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What is the equation of the line that is perpendicular to y = 2x + 1 and passes

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Question: What is the equation of the line that is perpendicular to y = 2x + 1 and passes through the point (1, 2)?

Options:

  1. y = -1/2x + 5/2
  2. y = 1/2x + 3/2
  3. y = -2x + 4
  4. y = 2x - 1

Correct Answer: y = -1/2x + 5/2

Solution:

The slope of the perpendicular line is -1/2. Using point-slope form: y - 2 = -1/2(x - 1) => y = -1/2x + 5/2.

What is the equation of the line that is perpendicular to y = 2x + 1 and passes

Practice Questions

Q1
What is the equation of the line that is perpendicular to y = 2x + 1 and passes through the point (1, 2)?
  1. y = -1/2x + 5/2
  2. y = 1/2x + 3/2
  3. y = -2x + 4
  4. y = 2x - 1

Questions & Step-by-Step Solutions

What is the equation of the line that is perpendicular to y = 2x + 1 and passes through the point (1, 2)?
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