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A line segment has the endpoints S(2,9)S(2,9) and T(6,1)T(6,1). 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(2,9)S(2,9) and T(6,1)T(6,1). 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(2,9)S(2,9) and T(6,1)T(6,1). Substitute (2,9)(2, 9) for (x1,y1)(x_1, y_1) and (6,1)(6, 1) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(2+62,9+12)M = \left(\frac{2 + 6}{2}, \frac{9 + 1}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(2+62,9+12)=(82,102)=(4,5)M = \left(\frac{2 + 6}{2}, \frac{9 + 1}{2}\right) = \left(\frac{8}{2}, \frac{10}{2}\right) = (4, 5).

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