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What is the y-intercept of the line represented by the equation 4x - y + 8 = 0?

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Question: What is the y-intercept of the line represented by the equation 4x - y + 8 = 0? (2019)

Options:

  1. 8
  2. 4
  3. -8
  4. -4

Correct Answer: 8

Exam Year: 2019

Solution: 

Setting x = 0 in the equation gives -y + 8 = 0, thus y = 8.

What is the y-intercept of the line represented by the equation 4x - y + 8 = 0?

Practice Questions

Q1
What is the y-intercept of the line represented by the equation 4x - y + 8 = 0? (2019)
  1. 8
  2. 4
  3. -8
  4. -4

Questions & Step-by-Step Solutions

What is the y-intercept of the line represented by the equation 4x - y + 8 = 0? (2019)
  • Step 1: Start with the equation of the line: 4x - y + 8 = 0.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 4(0) - y + 8 = 0.
  • Step 4: Simplify the equation: -y + 8 = 0.
  • Step 5: Solve for y by adding y to both sides: 8 = y.
  • Step 6: Therefore, the y-intercept is y = 8.
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