A line segment has the endpoints S(2,6) and T(0,10). 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(2,6) and T(0,10). Substitute (2, 6) for (x_1, y_1) and (0, 10) for (x_2, y_2) into the midpoint formula. M = ((2 + 0)/2, (6 + 10)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((2 + 0)/2, (6 + 10)/2) simplifies to M = (2/2, 16/2). M = (1, 8).

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A line segment has the endpoints $S(2,6)$ and $T(0,10)$ . 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

S(2,6)

and

T(0,10)

. 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 $S(2,6)$ and $T(0,10)$ . Substitute $(2, 6)$ for $(x_1, y_1)$ and $(0, 10)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{2 + 0}{2}, \frac{6 + 10}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{2 + 0}{2}, \frac{6 + 10}{2}\right)$ simplifies to $M = \left(\frac{2}{2}, \frac{16}{2}\right)$ . $M = (1, 8)$ .