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A line segment has the endpoints F(7,5)F(7,5) and G(9,3)G(9,3). 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(7,5)F(7,5) and G(9,3)G(9,3). 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(7,5)F(7,5) and G(9,3)G(9,3). Substitute the given coordinates into the midpoint formula: M=(7+92,5+32)M = \left(\frac{7 + 9}{2}, \frac{5 + 3}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM.M=(7+92,5+32)=(162,82)=(8,4)M = \left(\frac{7 + 9}{2}, \frac{5 + 3}{2}\right) = \left(\frac{16}{2}, \frac{8}{2}\right) = (8, 4).

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