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V(0,4)V(0,4) and W(8,10)W(8,10) 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(0,4)V(0,4) and W(8,10)W(8,10) 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 V(0,4)V(0,4) and W(8,10)W(8,10). Substitute the given coordinates into the midpoint formula: M=(0+82,4+102)M = \left(\frac{0 + 8}{2}, \frac{4 + 10}{2}\right).
  3. Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint MM. \newlineM=(82,142)M = (\frac{8}{2}, \frac{14}{2}). \newlineM=(4,7)M = (4, 7).

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