What is the midpoint of the line segment joining the points (2, 3) and (8, 7)?

Practice Questions

Q1
What is the midpoint of the line segment joining the points (2, 3) and (8, 7)?
  1. (5, 5)
  2. (4, 5)
  3. (6, 4)
  4. (7, 3)

Questions & Step-by-Step Solutions

What is the midpoint of the line segment joining the points (2, 3) and (8, 7)?
  • Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (8, 7).
  • Step 2: Write down the x-coordinates of both points. The x-coordinates are 2 and 8.
  • Step 3: Write down the y-coordinates of both points. The y-coordinates are 3 and 7.
  • Step 4: Use the midpoint formula, which is M = ((x1 + x2)/2, (y1 + y2)/2).
  • Step 5: Plug in the x-coordinates into the formula: Mx = (2 + 8)/2.
  • Step 6: Calculate Mx: (2 + 8) = 10, then 10/2 = 5.
  • Step 7: Plug in the y-coordinates into the formula: My = (3 + 7)/2.
  • Step 8: Calculate My: (3 + 7) = 10, then 10/2 = 5.
  • Step 9: Combine the results to find the midpoint: M = (5, 5).
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