A line segment has the endpoints S(2,9) and T(6,1). 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(2,9) and T(6,1). Substitute (2, 9) for (x_1, y_1) and (6, 1) for (x_2, y_2) into the midpoint formula. M = ((2 + 6)/2, (9 + 1)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((2 + 6)/2, (9 + 1)/2) = (8/2, 10/2) = (4, 5).

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A line segment has the endpoints $S(2,9)$ and $T(6,1)$ . 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(2,9)

and

T(6,1)

. 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 $S(2,9)$ and $T(6,1)$ . Substitute $(2, 9)$ for $(x_1, y_1)$ and $(6, 1)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{2 + 6}{2}, \frac{9 + 1}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{2 + 6}{2}, \frac{9 + 1}{2}\right) = \left(\frac{8}{2}, \frac{10}{2}\right) = (4, 5)$ .