T(2,1) and U(0,9) 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(2,1) and U(0,9). Substitute (2, 1) for (x_1, y_1) and (0, 9) for (x_2, y_2) into the midpoint formula. M = ((2 + 0)/2, (1 + 9)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((2 + 0)/2, (1 + 9)/2) = (2/2, 10/2) = (1, 5).

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$T(2,1)$ and $U(0,9)$ 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(2,1)

and

U(0,9)

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 $T(2,1)$ and $U(0,9)$ . Substitute $(2, 1)$ for $(x_1, y_1)$ and $(0, 9)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{2 + 0}{2}, \frac{1 + 9}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((2 + 0)/2, (1 + 9)/2) = (2/2, 10/2) = (1, 5)$ .