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If two lines are parallel and one line has the equation 2x + 3y = 6, what is the

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Question: If two lines are parallel and one line has the equation 2x + 3y = 6, what is the equation of a line parallel to it that passes through the point (1,2)?

Options:

  1. 2x + 3y = 8
  2. 2x + 3y = 4
  3. 3x + 2y = 6
  4. 3x + 2y = 8

Correct Answer: 2x + 3y = 8

Solution: 

The slope of the line 2x + 3y = 6 is -2/3. A line parallel to it will have the same slope. Using point-slope form, the equation becomes 3y - 2 = -2/3(2 - 1), which simplifies to 2x + 3y = 8.

If two lines are parallel and one line has the equation 2x + 3y = 6, what is the

Practice Questions

Q1
If two lines are parallel and one line has the equation 2x + 3y = 6, what is the equation of a line parallel to it that passes through the point (1,2)?
  1. 2x + 3y = 8
  2. 2x + 3y = 4
  3. 3x + 2y = 6
  4. 3x + 2y = 8

Questions & Step-by-Step Solutions

If two lines are parallel and one line has the equation 2x + 3y = 6, what is the equation of a line parallel to it that passes through the point (1,2)?
  • Slope of a Line – Understanding how to find the slope from the equation of a line and knowing that parallel lines have the same slope.
  • Point-Slope Form – Using the point-slope form of a line to write the equation of a line that passes through a given point.
  • Equation of a Line – Converting the point-slope form to the standard form of a line equation.
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