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P(10,6)P(10,6) and Q(4,6)Q(4,6) are the endpoints of a line segment. What is the midpoint MM of that line segment?\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)

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Q. P(10,6)P(10,6) and Q(4,6)Q(4,6) are the endpoints of a line segment. What is the midpoint MM of that line segment?\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 P(10,6)P(10,6) and Q(4,6)Q(4,6). Substitute (10,6)(10, 6) for (x1,y1)(x_1, y_1) and (4,6)(4, 6) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(10+42,6+62)M = \left(\frac{10 + 4}{2}, \frac{6 + 6}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(10+42,6+62)M = (\frac{10 + 4}{2}, \frac{6 + 6}{2})M=(142,122)M = (\frac{14}{2}, \frac{12}{2})M=(7,6)M = (7, 6)

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