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T(0,9)T(0,9) and U(8,5)U(8,5) are the endpoints of a line segment. What is the midpoint MM of that line segment?\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. T(0,9)T(0,9) and U(8,5)U(8,5) are the endpoints of a line segment. What is the midpoint MM of that line segment?\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 T(0,9)T(0,9) and U(8,5)U(8,5). Substitute (0,9)(0, 9) for (x1,y1)(x_1, y_1) and (8,5)(8, 5) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(0+82,9+52)M = \left(\frac{0 + 8}{2}, \frac{9 + 5}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((0+8)/2,(9+5)/2)=(8/2,14/2)=(4,7)M = ((0 + 8)/2, (9 + 5)/2) = (8/2, 14/2) = (4, 7).

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