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A line segment has the endpoints K(5,6)K(5,6) and L(3,10)L(3,10). Find the coordinates of its midpoint MM.\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)

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Q. A line segment has the endpoints K(5,6)K(5,6) and L(3,10)L(3,10). 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. The 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: Midpoint 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 K(5,6)K(5,6) and L(3,10)L(3,10). Substitute (5,6)(5, 6) for (x1,y1)(x_1, y_1) and (3,10)(3, 10) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(5+32,6+102)M = \left(\frac{5 + 3}{2} , \frac{6 + 10}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=(5+32,6+102)=(82,162)=(4,8).M = \left(\frac{5 + 3}{2} , \frac{6 + 10}{2}\right) = \left(\frac{8}{2} , \frac{16}{2}\right) = (4, 8).

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