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R(4,0)R(4,0) and S(10,2)S(10,2) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM = (_____,_____)

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Midpoint formula: find the midpointright chevron icon

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Q. R(4,0)R(4,0) and S(10,2)S(10,2) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM = (_____,_____)
  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 R(4,0)(4,0) and S(10,2)(10,2). Substitute (4,0)(4, 0) for (x1,y1)(x_1, y_1) and (10,2)(10, 2) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(4+102,0+22)M = \left(\frac{4 + 10}{2}, \frac{0 + 2}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(4+102,0+22)=(142,22)M = \left(\frac{4 + 10}{2}, \frac{0 + 2}{2}\right) = \left(\frac{14}{2}, \frac{2}{2}\right).M=(7,1)M = (7, 1).

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