A line segment has the endpoints S(3,10) and T(9,10). 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(3,10) and T(9,10). Substitute (3, 10) for (x_1, y_1) and (9, 10) for (x_2, y_2) into the midpoint formula. M = ((3 + 9)/2, (10 + 10)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((3 + 9)/2, (10 + 10)/2) = (12/2, 20/2) = (6, 10).

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A line segment has the endpoints $S(3,10)$ and $T(9,10)$ . 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(3,10)

and

T(9,10)

. 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 $S(3,10)$ and $T(9,10)$ . Substitute $(3, 10)$ for $(x_1, y_1)$ and $(9, 10)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{3 + 9}{2}, \frac{10 + 10}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = \left(\frac{3 + 9}{2}, \frac{10 + 10}{2}\right) = \left(\frac{12}{2}, \frac{20}{2}\right) = (6, 10).$