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A line segment has the endpoints Q(8,6)Q(8,6) and R(4,0)R(4,0). 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 Q(8,6)Q(8,6) and R(4,0)R(4,0). 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(8,6)Q(8,6) and R(4,0)R(4,0). Substitute the given coordinates into the midpoint formula: M=(8+42,6+02)M = \left(\frac{8 + 4}{2}, \frac{6 + 0}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((8+4)/2,(6+0)/2)=(12/2,6/2)=(6,3)M = ((8 + 4)/2, (6 + 0)/2) = (12/2, 6/2) = (6, 3).

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