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What is the y-intercept of the line 2x - 3y + 6 = 0? (2023)

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Question: What is the y-intercept of the line 2x - 3y + 6 = 0? (2023)

Options:

  1. 2
  2. 3
  3. -2
  4. -3

Correct Answer: 2

Exam Year: 2023

Solution: 

Rearranging gives y = (2/3)x + 2; y-intercept = 2

What is the y-intercept of the line 2x - 3y + 6 = 0? (2023)

Practice Questions

Q1
What is the y-intercept of the line 2x - 3y + 6 = 0? (2023)
  1. 2
  2. 3
  3. -2
  4. -3

Questions & Step-by-Step Solutions

What is the y-intercept of the line 2x - 3y + 6 = 0? (2023)
  • Step 1: Start with the equation of the line: 2x - 3y + 6 = 0.
  • Step 2: Rearrange the equation to solve for y. First, move 2x and 6 to the other side: -3y = -2x - 6.
  • Step 3: Divide every term by -3 to isolate y: y = (2/3)x + 2.
  • Step 4: Identify the y-intercept from the equation y = (2/3)x + 2. The y-intercept is the constant term, which is 2.
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