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If the coordinates of a point are (x, y) and it lies on the line 3x + 4y = 12, w

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Question: If the coordinates of a point are (x, y) and it lies on the line 3x + 4y = 12, what is y when x = 0?

Options:

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

Correct Answer: 4

Solution: 

Substituting x = 0: 3(0) + 4y = 12 => 4y = 12 => y = 3.

If the coordinates of a point are (x, y) and it lies on the line 3x + 4y = 12, w

Practice Questions

Q1
If the coordinates of a point are (x, y) and it lies on the line 3x + 4y = 12, what is y when x = 0?
  1. 3
  2. 4
  3. 2
  4. 0

Questions & Step-by-Step Solutions

If the coordinates of a point are (x, y) and it lies on the line 3x + 4y = 12, what is y when x = 0?
  • Step 1: Start with the equation of the line, which is 3x + 4y = 12.
  • Step 2: We need to find the value of y when x = 0.
  • Step 3: Substitute x = 0 into the equation: 3(0) + 4y = 12.
  • Step 4: Simplify the equation: 3(0) is 0, so it becomes 0 + 4y = 12.
  • Step 5: This simplifies to 4y = 12.
  • Step 6: To find y, divide both sides of the equation by 4: y = 12 / 4.
  • Step 7: Calculate the division: y = 3.
  • 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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