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What is the equation of the line passing through (0, 0) with a slope of 3? (2021

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Question: What is the equation of the line passing through (0, 0) with a slope of 3? (2021)

Options:

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

Correct Answer: y = 3x

Exam Year: 2021

Solution: 

Equation of line: y = mx + c; here m = 3, c = 0 => y = 3x

What is the equation of the line passing through (0, 0) with a slope of 3? (2021

Practice Questions

Q1
What is the equation of the line passing through (0, 0) with a slope of 3? (2021)
  1. y = 3x
  2. y = x/3
  3. y = 3/x
  4. y = 1/3x

Questions & Step-by-Step Solutions

What is the equation of the line passing through (0, 0) with a slope of 3? (2021)
  • Step 1: Understand that the equation of a line can be written in the form y = mx + c, where m is the slope and c is the y-intercept.
  • Step 2: Identify the slope (m) given in the question, which is 3.
  • Step 3: Identify the y-intercept (c). Since the line passes through the point (0, 0), the y-intercept is 0.
  • Step 4: Substitute the values of m and c into the equation: y = 3x + 0.
  • Step 5: Simplify the equation to get the final form: y = 3x.
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