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If a line has the equation 4x - y + 8 = 0, what is its y-intercept? (2019)

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Question: If a line has the equation 4x - y + 8 = 0, what is its y-intercept? (2019)

Options:

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

Correct Answer: -4

Exam Year: 2019

Solution: 

Setting x = 0 in the equation gives y = 8. Thus, the y-intercept is -8.

If a line has the equation 4x - y + 8 = 0, what is its y-intercept? (2019)

Practice Questions

Q1
If a line has the equation 4x - y + 8 = 0, what is its y-intercept? (2019)
  1. 8
  2. 4
  3. -8
  4. -4

Questions & Step-by-Step Solutions

If a line has the equation 4x - y + 8 = 0, what is its y-intercept? (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 moving 8 to the other side: -y = -8.
  • Step 6: Multiply both sides by -1 to get y = 8.
  • Step 7: The y-intercept is the value of y when x = 0, which is 8.
  • Finding the y-intercept – To find the y-intercept of a line, set x = 0 in the line's equation and solve for y.
  • Understanding line equations – Recognizing the standard form of a line equation and how to manipulate it to find specific values.
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