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A line segment has the endpoints K(3,4)K(3,4) and L(1,6)L(1,6). 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 K(3,4)K(3,4) and L(1,6)L(1,6). 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 K(3,4)K(3,4) and L(1,6)L(1,6). Substitute the given coordinates into the midpoint formula: M=(3+12,4+62)M = \left(\frac{3 + 1}{2}, \frac{4 + 6}{2}\right).
  3. Calculate midpoint coordinates: Calculate the coordinates of the midpoint MM. \newlineM=(3+12,4+62)=(42,102)=(2,5).M = \left(\frac{3 + 1}{2}, \frac{4 + 6}{2}\right) = \left(\frac{4}{2}, \frac{10}{2}\right) = (2, 5).

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