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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 -4? (2023)

Options:

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

Correct Answer: y = -4x

Exam Year: 2023

Solution: 

Using the slope-intercept form y = mx + b, with m = -4 and b = 0, the equation is y = -4x.

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 -4? (2023)
  1. y = -4x
  2. y = 4x
  3. y = -x/4
  4. y = 1/4x

Questions & Step-by-Step Solutions

What is the equation of the line that passes through the origin and has a slope of -4? (2023)
  • Step 1: Understand that the equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
  • Step 2: Identify the slope (m) given in the question, which is -4.
  • Step 3: Since the line passes through the origin, the y-intercept (b) is 0.
  • Step 4: Substitute the values of m and b into the equation: y = -4x + 0.
  • Step 5: Simplify the equation by removing the + 0, resulting in y = -4x.
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