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A line segment has the endpoints G(10,0)G(10,0) and H(6,2)H(6,2). 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(10,0)G(10,0) and H(6,2)H(6,2). 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(10,0)G(10,0) and H(6,2)H(6,2). Substitute (10,0)(10, 0) for (x1,y1)(x_1, y_1) and (6,2)(6, 2) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(10+62,0+22)M = \left(\frac{10 + 6}{2}, \frac{0 + 2}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM.M=((10+6)/2,(0+2)/2)=(16/2,2/2)=(8,1)M = ((10 + 6)/2, (0 + 2)/2) = (16/2, 2/2) = (8, 1).

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