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What is the y-intercept of the line 3x - 4y = 12? (2023)

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Question: What is the y-intercept of the line 3x - 4y = 12? (2023)

Options:

  1. 3
  2. 4
  3. 0
  4. 12

Correct Answer: 3

Exam Year: 2023

Solution: 

Setting x = 0, we get -4y = 12, so y = -3.

What is the y-intercept of the line 3x - 4y = 12? (2023)

Practice Questions

Q1
What is the y-intercept of the line 3x - 4y = 12? (2023)
  1. 3
  2. 4
  3. 0
  4. 12

Questions & Step-by-Step Solutions

What is the y-intercept of the line 3x - 4y = 12? (2023)
  • Step 1: Start with the equation of the line: 3x - 4y = 12.
  • Step 2: To find the y-intercept, set x = 0.
  • Step 3: Substitute x = 0 into the equation: 3(0) - 4y = 12.
  • Step 4: This simplifies to -4y = 12.
  • Step 5: To solve for y, divide both sides by -4: y = 12 / -4.
  • Step 6: This gives y = -3.
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