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

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

G(10,0)

and

H(6,2)

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