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U(9,9)U(9,9) and V(7,3)V(7,3) 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. U(9,9)U(9,9) and V(7,3)V(7,3) 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 U(9,9)U(9,9) and V(7,3)V(7,3). Substitute the given coordinates into the midpoint formula: M=(9+72,9+32)M = \left(\frac{9 + 7}{2}, \frac{9 + 3}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((9+7)/2,(9+3)/2)M = ((9 + 7)/2, (9 + 3)/2)\newlineM=(16/2,12/2)M = (16/2, 12/2)\newlineM=(8,6).M = (8, 6).

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