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What is the y-intercept of the line 4x + 5y - 20 = 0?

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Question: What is the y-intercept of the line 4x + 5y - 20 = 0?

Options:

  1. 4
  2. 5
  3. 20
  4. 0

Correct Answer: 5

Solution: 

Setting x = 0 in the equation gives 5y = 20, thus y = 4. The y-intercept is 4.

What is the y-intercept of the line 4x + 5y - 20 = 0?

Practice Questions

Q1
What is the y-intercept of the line 4x + 5y - 20 = 0?
  1. 4
  2. 5
  3. 20
  4. 0

Questions & Step-by-Step Solutions

What is the y-intercept of the line 4x + 5y - 20 = 0?
  • Step 1: Start with the equation of the line: 4x + 5y - 20 = 0.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 4(0) + 5y - 20 = 0.
  • Step 4: This simplifies to 5y - 20 = 0.
  • Step 5: Now, add 20 to both sides of the equation: 5y = 20.
  • Step 6: Next, divide both sides by 5 to solve for y: y = 20 / 5.
  • Step 7: This simplifies to y = 4.
  • Step 8: The y-intercept is the value of y when x = 0, which is 4.
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