A line segment has the endpoints T(0,4) and U(8,4). 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 T(0,4) and U(8,4). Substitute (0, 4) for (x_1, y_1) and (8, 4) for (x_2, y_2) into the midpoint formula. M = ((0 + 8)/2, (4 + 4)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((0 + 8)/2, (4 + 4)/2) = (8/2, 8/2) = (4, 4).

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A line segment has the endpoints $T(0,4)$ and $U(8,4)$ . Find the coordinates of its midpoint $M$ .

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Algebra 1

Midpoint formula: find the midpoint

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Q. A line segment has the endpoints

T(0,4)

and

U(8,4)

. Find the coordinates of its midpoint

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