What is the midpoint of the line segment joining the points (2, 3) and (4, 7)?

Practice Questions

Q1
What is the midpoint of the line segment joining the points (2, 3) and (4, 7)?
  1. (3, 5)
  2. (2, 5)
  3. (4, 3)
  4. (5, 7)

Questions & Step-by-Step Solutions

What is the midpoint of the line segment joining the points (2, 3) and (4, 7)?
Correct Answer: (3, 5)
  • Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (4, 7).
  • Step 2: To find the midpoint, we need to calculate the average of the x-coordinates and the average of the y-coordinates.
  • Step 3: Calculate the average of the x-coordinates: (2 + 4) / 2.
  • Step 4: Calculate the average of the y-coordinates: (3 + 7) / 2.
  • Step 5: Perform the calculations: (2 + 4) = 6, so 6 / 2 = 3 for the x-coordinate.
  • Step 6: Perform the calculations: (3 + 7) = 10, so 10 / 2 = 5 for the y-coordinate.
  • Step 7: Combine the results to get the midpoint: (3, 5).
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