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A line segment has the endpoints F(6,9)F(6,9) and G(8,5)G(8,5). 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(6,9)F(6,9) and G(8,5)G(8,5). 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(6,9)F(6,9) and G(8,5)G(8,5). Substitute the given coordinates into the midpoint formula: M=(6+82,9+52)M = \left(\frac{6 + 8}{2}, \frac{9 + 5}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM.M=(6+82,9+52)M = \left(\frac{6 + 8}{2}, \frac{9 + 5}{2}\right)M=(142,142)M = \left(\frac{14}{2}, \frac{14}{2}\right)M=(7,7)M = (7, 7)

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