K(1,2) and L(3,8) are the endpoints of a line segment. What is the midpoint M of that line segment? 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(1,2) and L(3,8). Substitute the given coordinates into the midpoint formula: M = ((1 + 3)/2, (2 + 8)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((1 + 3)/2, (2 + 8)/2) = (4/2, 10/2) = (2, 5).

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$K(1,2)$ and $L(3,8)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

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K(1,2)

and

L(3,8)

are the endpoints of a line segment. What is the midpoint

M

of that line segment?

\newline

Write the coordinates as decimals or integers.

\newline

M = (\_,\_)

Identify midpoint formula: Identify the midpoint formula for a line segment. $\newline$ The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $\newline$ 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 $K(1,2)$ and $L(3,8)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{1 + 3}{2}, \frac{2 + 8}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $M = ((1 + 3)/2, (2 + 8)/2) = (4/2, 10/2) = (2, 5)$ .