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A line segment has the endpoints F(9,3)F(9,3) and G(3,9)G(3,9). 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 F(9,3)F(9,3) and G(3,9)G(3,9). 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 F(9,3)F(9,3) and G(3,9)G(3,9). Substitute (9,3)(9, 3) for (x1,y1)(x_1, y_1) and (3,9)(3, 9) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(9+32,3+92)M = \left(\frac{9 + 3}{2}, \frac{3 + 9}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(9+32,3+92)=(122,122)=(6,6)M = \left(\frac{9 + 3}{2}, \frac{3 + 9}{2}\right) = \left(\frac{12}{2}, \frac{12}{2}\right) = (6, 6).

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