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Q(10,7)Q(10,7) and R(4,3)R(4,3) 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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Midpoint formula: find the midpointright chevron icon

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Q. Q(10,7)Q(10,7) and R(4,3)R(4,3) 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 Q(10,7)Q(10,7) and R(4,3)R(4,3). Substitute (10,7)(10, 7) for (x1,y1)(x_1, y_1) and (4,3)(4, 3) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(10+42,7+32)M = \left(\frac{10 + 4}{2}, \frac{7 + 3}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((10+4)/2,(7+3)/2)=(14/2,10/2)=(7,5)M = ((10 + 4)/2, (7 + 3)/2) = (14/2, 10/2) = (7, 5).

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