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G(10,10)G(10,10) and H(2,0)H(2,0) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)

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Q. G(10,10)G(10,10) and H(2,0)H(2,0) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)
  1. Identify Midpoint Formula: Identify the midpoint formula for a line segment.\newlineThe midpoint of a line segment with endpoints (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlineMidpoint M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right).
  2. Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints G(10,10)G(10,10) and H(2,0)H(2,0).\newlineSubstitute the given coordinates into the midpoint formula:\newlineM=(10+22,10+02)M = \left(\frac{10 + 2}{2}, \frac{10 + 0}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((10+2)/2,(10+0)/2)=(12/2,10/2)=(6,5)M = ((10 + 2)/2, (10 + 0)/2) = (12/2, 10/2) = (6, 5).

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