T(0,9) and U(8,5) 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 T(0,9) and U(8,5). Substitute (0, 9) for (x_1, y_1) and (8, 5) for (x_2, y_2) into the midpoint formula. M = ((0 + 8)/2, (9 + 5)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((0 + 8)/2, (9 + 5)/2) = (8/2, 14/2) = (4, 7).

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$T(0,9)$ and $U(8,5)$ 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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T(0,9)

and

U(8,5)

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 $T(0,9)$ and $U(8,5)$ . Substitute $(0, 9)$ for $(x_1, y_1)$ and $(8, 5)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{0 + 8}{2}, \frac{9 + 5}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((0 + 8)/2, (9 + 5)/2) = (8/2, 14/2) = (4, 7)$ .