A line segment has the endpoints C(3,10) and D(5,6). 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 C(3,10) and D(5,6). Substitute the given coordinates into the midpoint formula: M = ((3 + 5)/2, (10 + 6)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((3 + 5)/2, (10 + 6)/2) M = (8/2, 16/2) M = (4, 8)

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A line segment has the endpoints $C(3,10)$ and $D(5,6)$ . 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

C(3,10)

and

D(5,6)

. 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. $\newline$ 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 $C(3,10)$ and $D(5,6)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{3 + 5}{2}, \frac{10 + 6}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((3 + 5)/2, (10 + 6)/2)$ $\newline$ $M = (8/2, 16/2)$ $\newline$ $M = (4, 8)$