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A line segment has the endpoints K(2,9)K(2,9) and L(10,5)L(10,5). Find the coordinates of its midpoint MM.\newline\newlineWrite the coordinates as decimals or integers.\newline\newlineM=(_,_)M = (\_,\_)

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Q. A line segment has the endpoints K(2,9)K(2,9) and L(10,5)L(10,5). Find the coordinates of its midpoint MM.\newline\newlineWrite the coordinates as decimals or integers.\newline\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 K(2,9)K(2,9) and L(10,5)L(10,5). Substitute the given coordinates into the midpoint formula: M=(2+102,9+52)M = \left(\frac{2 + 10}{2}, \frac{9 + 5}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((2+10)/2,(9+5)/2)=(12/2,14/2)=(6,7)M = ((2 + 10)/2, (9 + 5)/2) = (12/2, 14/2) = (6, 7).

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