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If the line 3x - 4y + 12 = 0 intersects the x-axis, what is the x-coordinate of

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Question: If the line 3x - 4y + 12 = 0 intersects the x-axis, what is the x-coordinate of the intersection point? (2021)

Options:

  1. -4
  2. 4
  3. 3
  4. -3

Correct Answer: -4

Exam Year: 2021

Solution: 

Setting y = 0 in the equation gives 3x + 12 = 0, thus x = -4.

If the line 3x - 4y + 12 = 0 intersects the x-axis, what is the x-coordinate of

Practice Questions

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

Questions & Step-by-Step Solutions

If the line 3x - 4y + 12 = 0 intersects the x-axis, what is the x-coordinate of the intersection point? (2021)
  • Step 1: Understand that the x-axis is where y = 0.
  • Step 2: Substitute y = 0 into the equation 3x - 4y + 12 = 0.
  • Step 3: This gives us the equation 3x - 4(0) + 12 = 0.
  • Step 4: Simplify the equation to 3x + 12 = 0.
  • Step 5: Solve for x by isolating it. First, subtract 12 from both sides: 3x = -12.
  • Step 6: Now, divide both sides by 3 to find x: x = -4.
  • Line Equation and Intersections – Understanding how to find the intersection of a line with the x-axis by setting y to zero.
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