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A line segment has the endpoints G(9,9)G(9,9) and H(7,9)H(7,9). 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 G(9,9)G(9,9) and H(7,9)H(7,9). 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 G(9,9)G(9,9) and H(7,9)H(7,9). Substitute the given coordinates into the midpoint formula: M=(9+72,9+92)M = \left(\frac{9 + 7}{2}, \frac{9 + 9}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(9+72,9+92)M = \left(\frac{9 + 7}{2}, \frac{9 + 9}{2}\right)M=(162,182)M = \left(\frac{16}{2}, \frac{18}{2}\right)M=(8,9)M = (8, 9)

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