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S(2,2)S(2,2) and T(6,6)T(6,6) 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. S(2,2)S(2,2) and T(6,6)T(6,6) 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 S(2,2)S(2,2) and T(6,6)T(6,6). Substitute (2,2)(2, 2) for (x1,y1)(x_1, y_1) and (6,6)(6, 6) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(2+62,2+62)M = \left(\frac{2 + 6}{2}, \frac{2 + 6}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(2+62,2+62)M = \left(\frac{2 + 6}{2}, \frac{2 + 6}{2}\right)M=(82,82)M = \left(\frac{8}{2}, \frac{8}{2}\right)M=(4,4)M = (4, 4).

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