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If the line 2x - 3y + 6 = 0 intersects the x-axis, what is the x-coordinate of t

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Question: If the line 2x - 3y + 6 = 0 intersects the x-axis, what is the x-coordinate of the intersection point?

Options:

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

Correct Answer: -3

Solution: 

Set y = 0: 2x + 6 = 0; x = -3.

If the line 2x - 3y + 6 = 0 intersects the x-axis, what is the x-coordinate of t

Practice Questions

Q1
If the line 2x - 3y + 6 = 0 intersects the x-axis, what is the x-coordinate of the intersection point?
  1. -3
  2. 3
  3. 2
  4. 0

Questions & Step-by-Step Solutions

If the line 2x - 3y + 6 = 0 intersects the x-axis, what is the x-coordinate of the intersection point?
  • Step 1: Understand that the x-axis is where y = 0.
  • Step 2: Substitute y = 0 into the equation of the line: 2x - 3(0) + 6 = 0.
  • Step 3: Simplify the equation: 2x + 6 = 0.
  • Step 4: Solve for x by isolating it: 2x = -6.
  • Step 5: Divide both sides by 2: x = -3.
  • Line Intersection with Axes – Understanding how to find the intersection of a line with the x-axis by setting y to zero.
  • Solving Linear Equations – Applying algebraic methods to solve for x in a linear equation.
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