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Q(8,8)Q(8,8) and R(10,6)R(10,6) 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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Midpoint formula: find the midpointright chevron icon

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Q. Q(8,8)Q(8,8) and R(10,6)R(10,6) 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 Q(8,8)Q(8,8) and R(10,6)R(10,6). Substitute (8,8)(8, 8) for (x1,y1)(x_1, y_1) and (10,6)(10, 6) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(8+102,8+62)M = \left(\frac{8 + 10}{2} , \frac{8 + 6}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(8+102,8+62)M = \left(\frac{8 + 10}{2} , \frac{8 + 6}{2}\right)M=(182,142)M = \left(\frac{18}{2} , \frac{14}{2}\right)M=(9,7)M = (9, 7).

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