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V(6,10)V(6,10) and W(6,8)W(6,8) 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. V(6,10)V(6,10) and W(6,8)W(6,8) 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. Midpoint Formula: Identify the midpoint formula for a line segment.\newlineThe midpoint is the average of the coordinates of the endpoints.\newlineMidpoint formula: ((x1+x2)/2,(y1+y2)/2)((x_1 + x_2)/2 , (y_1 + y_2)/2)
  2. Endpoints: Endpoints: V(6,10)V(6, 10) and W(6,8)W(6, 8)\newlineSubstitute (6,10)(6, 10) for (x1,y1)(x_1, y_1) and (6,8)(6, 8) for (x2,y2)(x_2, y_2) into the midpoint formula.\newlineM=(6+62,10+82)M = \left(\frac{6 + 6}{2} , \frac{10 + 8}{2}\right)
  3. Substitute into Formula: Calculate the coordinates of MM.M=(6+62,10+82)M = \left(\frac{6 + 6}{2} , \frac{10 + 8}{2}\right)M=(122,182)M = \left(\frac{12}{2}, \frac{18}{2}\right)M=(6,9)M = (6, 9)

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