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What is the distance from the point (3, 4) to the line defined by the equation 2

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Question: What is the distance from the point (3, 4) to the line defined by the equation 2x + 3y - 6 = 0?

Options:

  1. 2.0
  2. 1.0
  3. 3.0
  4. 4.0

Correct Answer: 1.0

Solution:

Distance = |Ax1 + By1 + C| / √(A² + B²) = |2*3 + 3*4 - 6| / √(2² + 3²) = |6 + 12 - 6| / √13 = 12/√13 ≈ 1.0.

What is the distance from the point (3, 4) to the line defined by the equation 2

Practice Questions

Q1
What is the distance from the point (3, 4) to the line defined by the equation 2x + 3y - 6 = 0?
  1. 2.0
  2. 1.0
  3. 3.0
  4. 4.0

Questions & Step-by-Step Solutions

What is the distance from the point (3, 4) to the line defined by the equation 2x + 3y - 6 = 0?
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