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Find the y-intercept of the line 4x + y - 8 = 0.

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Question: Find the y-intercept of the line 4x + y - 8 = 0.

Options:

  1. 8
  2. 4
  3. 2
  4. 0

Correct Answer: 8

Solution: 

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

Find the y-intercept of the line 4x + y - 8 = 0.

Practice Questions

Q1
Find the y-intercept of the line 4x + y - 8 = 0.
  1. 8
  2. 4
  3. 2
  4. 0

Questions & Step-by-Step Solutions

Find the y-intercept of the line 4x + y - 8 = 0.
  • 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 0 for x in the equation: 4(0) + y - 8 = 0.
  • Step 4: Simplify the equation: 0 + y - 8 = 0.
  • Step 5: This simplifies to y - 8 = 0.
  • Step 6: Add 8 to both sides of the equation: 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 to 0 and solve for y.
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