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Which of the following pairs of equations represents parallel lines?

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Question: Which of the following pairs of equations represents parallel lines?

Options:

  1. 2x + 3y = 6 and 4x + 6y = 12
  2. x - y = 1 and x + y = 1
  3. 3x + 2y = 5 and 3x - 2y = 5
  4. x + 2y = 3 and 2x + 4y = 6

Correct Answer: 2x + 3y = 6 and 4x + 6y = 12

Solution: 

The first pair has the same slope (2/3) and thus represents parallel lines.

Which of the following pairs of equations represents parallel lines?

Practice Questions

Q1
Which of the following pairs of equations represents parallel lines?
  1. 2x + 3y = 6 and 4x + 6y = 12
  2. x - y = 1 and x + y = 1
  3. 3x + 2y = 5 and 3x - 2y = 5
  4. x + 2y = 3 and 2x + 4y = 6

Questions & Step-by-Step Solutions

Which of the following pairs of equations represents parallel lines?
  • Step 1: Identify the equations of the lines you are comparing.
  • Step 2: Rewrite each equation in slope-intercept form (y = mx + b), where m is the slope.
  • Step 3: Find the slope (m) of each equation.
  • Step 4: Compare the slopes of the two equations.
  • Step 5: If the slopes are the same, the lines are parallel.
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