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$K(1,8)$ and $L(7,10)$ 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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Midpoint formula: find the midpoint

Full solution

Q.

K(1,8)

and

L(7,10)

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 = (\_,\_)

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: $((x_1 + x_2)/2 , (y_1 + y_2)/2)$
Given Endpoints: Endpoints: $K(1, 8)$ and $L(7, 10)$ $\newline$ Substitute $(1, 8)$ for $(x_1, y_1)$ and $(7, 10)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{1 + 7}{2} , \frac{8 + 10}{2}\right)$
Substitute Coordinates: Calculate the coordinates of $M$ . $M = \left(\frac{1 + 7}{2} , \frac{8 + 10}{2}\right)$ $M = \left(\frac{8}{2} , \frac{18}{2}\right)$ $M = (4 , 9)$

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