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T(9,1)T(9,1) and U(7,1)U(7,1) 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. T(9,1)T(9,1) and U(7,1)U(7,1) 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 T(9,1)T(9,1) and U(7,1)U(7,1). Substitute (9,1)(9, 1) for (x1,y1)(x_1, y_1) and (7,1)(7, 1) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(9+72,1+12)M = \left(\frac{9 + 7}{2}, \frac{1 + 1}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((9+7)/2,(1+1)/2)=(16/2,2/2)=(8,1)M = ((9 + 7)/2, (1 + 1)/2) = (16/2, 2/2) = (8, 1).

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