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

Practice Questions

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

Questions & Step-by-Step Solutions

If the line 2x + 3y = 6 intersects the x-axis, what is the point of intersection?
  • Step 1: Understand that the x-axis is where y = 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, giving x = 3.
  • Step 5: The point of intersection on the x-axis is (3, 0).
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