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What is the y-intercept of the line 3x - 2y = 6? (2022)

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Question: What is the y-intercept of the line 3x - 2y = 6? (2022)

Options:

  1. 3
  2. 2
  3. 0
  4. 6

Correct Answer: 2

Exam Year: 2022

Solution: 

Set x = 0: -2y = 6 => y = -3, y-intercept is 3.

What is the y-intercept of the line 3x - 2y = 6? (2022)

Practice Questions

Q1
What is the y-intercept of the line 3x - 2y = 6? (2022)
  1. 3
  2. 2
  3. 0
  4. 6

Questions & Step-by-Step Solutions

What is the y-intercept of the line 3x - 2y = 6? (2022)
  • Step 1: Start with the equation of the line: 3x - 2y = 6.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 3(0) - 2y = 6.
  • Step 4: This simplifies to -2y = 6.
  • Step 5: Now, solve for y by dividing both sides by -2: y = 6 / -2.
  • Step 6: This gives y = -3.
  • Step 7: The y-intercept is the value of y when x = 0, which is -3.
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