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C(4,3)C(4,3) and D(8,7)D(8,7) 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. C(4,3)C(4,3) and D(8,7)D(8,7) 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 C(4,3)C(4,3) and D(8,7)D(8,7). Substitute (4,3)(4, 3) for (x1,y1)(x_1, y_1) and (8,7)(8, 7) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(4+82,3+72)M = \left(\frac{4 + 8}{2}, \frac{3 + 7}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((4+8)/2,(3+7)/2)=(12/2,10/2)=(6,5)M = ((4 + 8)/2, (3 + 7)/2) = (12/2, 10/2) = (6, 5).

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