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A line segment has the endpoints S(0,8)S(0,8) and T(2,10)T(2,10). 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 S(0,8)S(0,8) and T(2,10)T(2,10). 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.\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(0,8)S(0,8) and T(2,10)T(2,10). Substitute (0,8)(0, 8) for (x1,y1)(x_1, y_1) and (2,10)(2, 10) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(0+22,8+102)M = \left(\frac{0 + 2}{2}, \frac{8 + 10}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((0+2)/2,(8+10)/2)=(2/2,18/2)=(1,9)M = ((0 + 2)/2, (8 + 10)/2) = (2/2, 18/2) = (1, 9).

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