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What is the equation of the line that passes through the origin and has a slope

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Question: What is the equation of the line that passes through the origin and has a slope of -3? (2022)

Options:

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

Correct Answer: y = -3x

Exam Year: 2022

Solution: 

The equation of a line through the origin with slope m is y = mx. Thus, y = -3x.

What is the equation of the line that passes through the origin and has a slope

Practice Questions

Q1
What is the equation of the line that passes through the origin and has a slope of -3? (2022)
  1. y = -3x
  2. y = 3x
  3. y = -x/3
  4. y = 1/3x

Questions & Step-by-Step Solutions

What is the equation of the line that passes through the origin and has a slope of -3? (2022)
  • Step 1: Understand that the equation of a line can be written in the form y = mx, where m is the slope.
  • Step 2: Identify that the slope given in the question is -3.
  • Step 3: Substitute the slope (-3) into the equation y = mx. This gives us y = -3x.
  • Step 4: Conclude that the equation of the line that passes through the origin with a slope of -3 is y = -3x.
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