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B(4,5)B(4,5) and C(6,9)C(6,9) 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. B(4,5)B(4,5) and C(6,9)C(6,9) 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. The 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: Midpoint 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 B(4,5)B(4,5) and C(6,9)C(6,9). Substitute (4,5)(4, 5) for (x1,y1)(x_1, y_1) and (6,9)(6, 9) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(4+62,5+92)M = \left(\frac{4 + 6}{2} , \frac{5 + 9}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM.M=(4+62,5+92)M = \left(\frac{4 + 6}{2} , \frac{5 + 9}{2}\right)M=(102,142)M = \left(\frac{10}{2}, \frac{14}{2}\right)M=(5,7)M = (5, 7).

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