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If the point (x, y) lies on the line 4x - 5y = 20, what is the value of y when x

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Question: If the point (x, y) lies on the line 4x - 5y = 20, what is the value of y when x = 0?

Options:

  1. 4
  2. 5
  3. 0
  4. -4

Correct Answer: 5

Solution: 

Substituting x = 0: 4(0) - 5y = 20 => -5y = 20 => y = -4.

If the point (x, y) lies on the line 4x - 5y = 20, what is the value of y when x

Practice Questions

Q1
If the point (x, y) lies on the line 4x - 5y = 20, what is the value of y when x = 0?
  1. 4
  2. 5
  3. 0
  4. -4

Questions & Step-by-Step Solutions

If the point (x, y) lies on the line 4x - 5y = 20, what is the value of y when x = 0?
  • Step 1: Start with the equation of the line: 4x - 5y = 20.
  • Step 2: We need to find the value of y when x = 0.
  • Step 3: Substitute x = 0 into the equation: 4(0) - 5y = 20.
  • Step 4: Simplify the equation: 0 - 5y = 20.
  • Step 5: This simplifies to -5y = 20.
  • Step 6: To find y, divide both sides by -5: y = 20 / -5.
  • Step 7: Calculate the value: y = -4.
  • Linear Equations – Understanding how to manipulate and solve linear equations in two variables.
  • Substitution – Applying the substitution method to find the value of one variable when the other is known.
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