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If two lines are parallel and the equation of one line is y = 3x + 5, what is th

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Question: If two lines are parallel and the equation of one line is y = 3x + 5, what is the equation of a line parallel to it that passes through the point (1, 2)?

Options:

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

Correct Answer: y = 3x - 1

Solution:

Using point-slope form: y - 2 = 3(x - 1) simplifies to y = 3x - 1.

If two lines are parallel and the equation of one line is y = 3x + 5, what is th

Practice Questions

Q1
If two lines are parallel and the equation of one line is y = 3x + 5, what is the equation of a line parallel to it that passes through the point (1, 2)?
  1. y = 3x - 1
  2. y = 3x + 1
  3. y = 3x + 2
  4. y = 3x + 3

Questions & Step-by-Step Solutions

If two lines are parallel and the equation of one line is y = 3x + 5, what is the equation of a line parallel to it that passes through the point (1, 2)?
  • Parallel Lines – Parallel lines have the same slope. The slope of the given line y = 3x + 5 is 3.
  • Point-Slope Form – The point-slope form of a line is used to find the equation of a line given a point and a slope.
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