A line segment has the endpoints S(0,8) and T(2,10). 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 S(0,8) and T(2,10). Substitute (0, 8) for (x_1, y_1) and (2, 10) for (x_2, y_2) into the midpoint formula. M = ((0 + 2)/2, (8 + 10)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((0 + 2)/2, (8 + 10)/2) = (2/2, 18/2) = (1, 9).

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A line segment has the endpoints $S(0,8)$ and $T(2,10)$ . 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

S(0,8)

and

T(2,10)

. 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 $S(0,8)$ and $T(2,10)$ . Substitute $(0, 8)$ for $(x_1, y_1)$ and $(2, 10)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{0 + 2}{2}, \frac{8 + 10}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((0 + 2)/2, (8 + 10)/2) = (2/2, 18/2) = (1, 9)$ .