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V(5,10)V(5,10) and W(1,4)W(1,4) 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. V(5,10)V(5,10) and W(1,4)W(1,4) 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 V(5,10)V(5,10) and W(1,4)W(1,4). Substitute (5,10)(5, 10) for (x1,y1)(x_1, y_1) and (1,4)(1, 4) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(5+12,10+42)M = \left(\frac{5 + 1}{2}, \frac{10 + 4}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(5+12,10+42)=(62,142)=(3,7)M = \left(\frac{5 + 1}{2}, \frac{10 + 4}{2}\right) = \left(\frac{6}{2}, \frac{14}{2}\right) = (3, 7).

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