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What is the condition for two lines to be perpendicular?

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

Options:

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

Correct Answer: m1 * m2 = -1

Solution: 

Two lines are perpendicular if the product of their slopes m1 and m2 is -1.

What is the condition for two lines to be perpendicular?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the condition for two lines to be perpendicular?
  • Step 1: Understand what a slope is. The slope of a line shows how steep it is.
  • Step 2: Identify the slopes of the two lines. Let's call them m1 and m2.
  • Step 3: Multiply the two slopes together. This means you calculate m1 * m2.
  • Step 4: Check the result of the multiplication. If the result is -1, then the two lines are perpendicular.
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