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

Practice Questions

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

Questions & Step-by-Step Solutions

If the line 3x + 4y = 12 intersects the x-axis, what is the point of intersection?
Correct Answer: (4, 0)
  • Step 1: Understand that the x-axis is where y = 0.
  • Step 2: Substitute y = 0 into the equation 3x + 4y = 12.
  • Step 3: The equation becomes 3x + 4(0) = 12, which simplifies to 3x = 12.
  • Step 4: Solve for x by dividing both sides by 3: x = 12 / 3.
  • Step 5: Calculate x = 4.
  • Step 6: The point of intersection on the x-axis is (4, 0).
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