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If the line 3x + 4y = 12 intersects the y-axis, what is the point of intersectio

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Question: If the line 3x + 4y = 12 intersects the y-axis, what is the point of intersection? (2021)

Options:

  1. (0, 3)
  2. (0, 4)
  3. (0, 2)
  4. (0, 1)

Correct Answer: (0, 3)

Exam Year: 2021

Solution: 

Setting x = 0 gives 4y = 12, thus y = 3. The point of intersection is (0, 3).

If the line 3x + 4y = 12 intersects the y-axis, what is the point of intersectio

Practice Questions

Q1
If the line 3x + 4y = 12 intersects the y-axis, what is the point of intersection? (2021)
  1. (0, 3)
  2. (0, 4)
  3. (0, 2)
  4. (0, 1)

Questions & Step-by-Step Solutions

If the line 3x + 4y = 12 intersects the y-axis, what is the point of intersection? (2021)
  • Step 1: Understand that the y-axis is where x = 0.
  • Step 2: Substitute x = 0 into the equation 3x + 4y = 12.
  • Step 3: This gives us the equation 3(0) + 4y = 12.
  • Step 4: Simplify the equation to 4y = 12.
  • Step 5: Solve for y by dividing both sides by 4, which gives y = 3.
  • Step 6: The point of intersection on the y-axis is (0, 3).
  • Linear Equations – Understanding how to find the intersection of a line with the axes by substituting values.
  • Coordinate Geometry – Identifying points on the Cartesian plane, specifically the y-intercept.
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