G(10,10) and H(2,0) are the endpoints of a line segment. What is the midpoint M of that line segment? 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(10,10) and H(2,0). Substitute the given coordinates into the midpoint formula: M = ((10 + 2)/2, (10 + 0)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((10 + 2)/2, (10 + 0)/2) = (12/2, 10/2) = (6, 5).

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$G(10,10)$ and $H(2,0)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

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G(10,10)

and

H(2,0)

are the endpoints of a line segment. What is the midpoint

M

of that line segment?

\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 $G(10,10)$ and $H(2,0)$ . $\newline$ Substitute the given coordinates into the midpoint formula: $\newline$ $M = \left(\frac{10 + 2}{2}, \frac{10 + 0}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((10 + 2)/2, (10 + 0)/2) = (12/2, 10/2) = (6, 5)$ .