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

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

Options:

  1. 0
  2. 2
  3. 3
  4. 6

Correct Answer: 2

Solution: 

Setting y = 0 gives 2x = 6, thus x = 3. The x-coordinate of the intersection point is 3.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If the line 2x + 3y = 6 intersects the x-axis, what is the x-coordinate of the intersection point?
  • Step 1: Understand that the x-axis is where the value of y is 0.
  • Step 2: Substitute y = 0 into the equation 2x + 3y = 6.
  • Step 3: The equation becomes 2x + 3(0) = 6, which simplifies to 2x = 6.
  • Step 4: Solve for x by dividing both sides of the equation by 2.
  • Step 5: This gives x = 6 / 2, which simplifies to x = 3.
  • Step 6: Therefore, the x-coordinate of the intersection point is 3.
  • Finding Intersection Points – The question tests the ability to find the intersection of a line with the x-axis by setting y to zero.
  • Understanding Linear Equations – It assesses knowledge of linear equations and their graphical representation.
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