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A line segment has the endpoints R(9,7)R(9,7) and S(5,9)S(5,9). Find the coordinates of its midpoint MM.\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. A line segment has the endpoints R(9,7)R(9,7) and S(5,9)S(5,9). Find the coordinates of its midpoint MM.\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)
  1. Identify Midpoint Formula: Identify the midpoint formula for a line segment. The 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: Midpoint 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 R(9,7)R(9,7) and S(5,9)S(5,9). Substitute (9,7)(9, 7) for (x1,y1)(x_1, y_1) and (5,9)(5, 9) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(9+52,7+92)M = \left(\frac{9 + 5}{2} , \frac{7 + 9}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(9+52,7+92)M = \left(\frac{9 + 5}{2} , \frac{7 + 9}{2}\right)M=(142,162)M = \left(\frac{14}{2}, \frac{16}{2}\right)M=(7,8)M = (7, 8).

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