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A line segment has the endpoints Q(5,7)Q(5,7) and R(1,5)R(1,5). Find the coordinates of its midpoint MM.\newlineWrite the coordinates as decimals or integers.\newlineM=(_,_)M = (\_,\_)

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Q. A line segment has the endpoints Q(5,7)Q(5,7) and R(1,5)R(1,5). 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 Q(5,7)Q(5,7) and R(1,5)R(1,5). Substitute (5,7)(5, 7) for (x1,y1)(x_1, y_1) and (1,5)(1, 5) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(5+12,7+52)M = \left(\frac{5 + 1}{2}, \frac{7 + 5}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. M=((5+1)/2,(7+5)/2)=(6/2,12/2)=(3,6)M = ((5 + 1)/2, (7 + 5)/2) = (6/2, 12/2) = (3, 6).

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