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What is the condition for two lines to be parallel?

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Question: What is the condition for two lines to be parallel?

Options:

  1. m1 = m2
  2. m1 + m2 = 0
  3. m1 * m2 = -1
  4. m1 - m2 = 0

Correct Answer: m1 = m2

Solution: 

Two lines are parallel if their slopes are equal, i.e., m1 = m2.

What is the condition for two lines to be parallel?

Practice Questions

Q1
What is the condition for two lines to be parallel?
  1. m1 = m2
  2. m1 + m2 = 0
  3. m1 * m2 = -1
  4. m1 - m2 = 0

Questions & Step-by-Step Solutions

What is the condition for two lines to be parallel?
Correct Answer: m1 = m2
  • Step 1: Understand what a line is. A line can be represented by an equation in the form y = mx + b, where m is the slope and b is the y-intercept.
  • Step 2: Identify the slopes of the two lines you are comparing. The slope is the number in front of x (m) in the line's equation.
  • Step 3: Compare the slopes of the two lines. If the slopes (m1 and m2) are the same, then the lines are parallel.
  • Step 4: Write the condition: Two lines are parallel if m1 = m2.
  • Parallel Lines – Two lines are parallel if they have the same slope, meaning they will never intersect.
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