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

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Question: What is the equation of a line that passes through the origin and has a slope of 4?

Options:

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

Correct Answer: y = 4x

Solution: 

The equation of a line in slope-intercept form is y = mx + b. Since it passes through the origin, b = 0, thus y = 4x.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the equation of a line that passes through the origin and has a slope of 4?
  • 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 to get the final form: y = 4x.
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