A line segment has the endpoints K(5,6) and L(3,10). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers. M = (_____,_____)

Identify Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint of a line segment with endpoints (x_1, y_1) and (x_2, y_2) is given by the formula: Midpoint M = ((x_1 + x_2)/2 , (y_1 + y_2)/2).Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints K(5,6) and L(3,10). Substitute (5, 6) for (x_1, y_1) and (3, 10) for (x_2, y_2) into the midpoint formula. M = ((5 + 3)/2 , (6 + 10)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((5 + 3)/2 , (6 + 10)/2) = (8/2 , 16/2) = (4, 8).

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A line segment has the endpoints $K(5,6)$ and $L(3,10)$ . Find the coordinates of its midpoint $M$ . $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

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Q. A line segment has the endpoints

K(5,6)

and

L(3,10)

. Find the coordinates of its midpoint

M

\newline

Write the coordinates as decimals or integers.

\newline

M = (\_,\_)

Identify Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: Midpoint $M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$ .
Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints $K(5,6)$ and $L(3,10)$ . Substitute $(5, 6)$ for $(x_1, y_1)$ and $(3, 10)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{5 + 3}{2} , \frac{6 + 10}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = \left(\frac{5 + 3}{2} , \frac{6 + 10}{2}\right) = \left(\frac{8}{2} , \frac{16}{2}\right) = (4, 8).$