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A line segment has the endpoints S(3,10)S(3,10) and T(9,10)T(9,10). 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(3,10)S(3,10) and T(9,10)T(9,10). 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(3,10)S(3,10) and T(9,10)T(9,10). Substitute (3,10)(3, 10) for (x1,y1)(x_1, y_1) and (9,10)(9, 10) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(3+92,10+102)M = \left(\frac{3 + 9}{2}, \frac{10 + 10}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=(3+92,10+102)=(122,202)=(6,10).M = \left(\frac{3 + 9}{2}, \frac{10 + 10}{2}\right) = \left(\frac{12}{2}, \frac{20}{2}\right) = (6, 10).

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