K(2,9) and L(2,3) are the endpoints of a line segment. What is the midpoint M of that line segment? Write the coordinates as decimals or integers. M = (_____,_____)

Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint is the average of the coordinates of the endpoints. Midpoint formula: ((x_1 + x_2)/2 , (y_1 + y_2)/2)Identify Endpoints: Endpoints: K(2, 9) and L(2, 3) Substitute (2, 9) for (x_1, y_1) and (2, 3) for (x_2, y_2) into the midpoint formula. M = ((2 + 2)/2 , (9 + 3)/2)Substitute Coordinates: Calculate the coordinates of M. M = ((2 + 2)/2 , (9 + 3)/2) M = (4/2, 12/2) M = (2, 6)

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$K(2,9)$ and $L(2,3)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment?

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Algebra 1

Midpoint formula: find the midpoint

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K(2,9)

and

L(2,3)

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

M

of that line segment?

Midpoint Formula: Identify the midpoint formula for a line segment. $\newline$ The midpoint is the average of the coordinates of the endpoints. $\newline$ Midpoint formula: $\newline$ $M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$
Identify Endpoints: Endpoints: $K(2, 9)$ and $L(2, 3)$ $\newline$
Substitute Coordinates:Substitute $(2, 9)$ for $(x_1, y_1)$ and $(2, 3)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{2 + 2}{2} , \frac{9 + 3}{2}\right)$
Calculate the Mid-point: Calculate the coordinates of $M$ . $\newline$ $M = \left(\frac{2 + 2}{2} , \frac{9 + 3}{2}\right)$ $\newline$ $M = \left(\frac{4}{2}, \frac{12}{2}\right)$ $\newline$ $M = (2, 6)$