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A line segment has the endpoints U(4,2)U(4,2) and V(2,6)V(2,6). 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 U(4,2)U(4,2) and V(2,6)V(2,6). 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:\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(4,2)U(4,2) and V(2,6)V(2,6). Substitute (4,2)(4, 2) for (x1,y1)(x_1, y_1) and (2,6)(2, 6) for (x2,y2)(x_2, y_2) into the midpoint formula. M=(4+22,2+62)M = \left(\frac{4 + 2}{2} , \frac{2 + 6}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. M=((4+2)/2,(2+6)/2)=(6/2,8/2)=(3,4)M = ((4 + 2)/2 , (2 + 6)/2) = (6/2, 8/2) = (3, 4).

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