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A line segment has the endpoints V(1,6)V(1,6) and W(5,6)W(5,6). Find the coordinates of its midpoint MM.\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. A line segment has the endpoints V(1,6)V(1,6) and W(5,6)W(5,6). Find the coordinates of its midpoint MM.\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: (x1+x22,y1+y22)\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(1,6)V(1,6) and W(5,6)W(5,6). Substitute (1,6)(1, 6) for (x1,y1)(x_1, y_1) and (5,6)(5, 6) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(1+52,6+62)M = \left(\frac{1 + 5}{2} , \frac{6 + 6}{2}\right)
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=((1+5)/2,(6+6)/2)M = ((1 + 5)/2 , (6 + 6)/2)\newlineM=(6/2,12/2)M = (6/2, 12/2)\newlineM=(3,6)M = (3, 6)

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