A line segment has the endpoints G(9,10) and H(9,2). 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: ((x_1 + x_2)/2 , (y_1 + y_2)/2)Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints G(9,10) and H(9,2). Substitute (9, 10) for (x_1, y_1) and (9, 2) for (x_2, y_2) into the midpoint formula. M = ((9 + 9)/2 , (10 + 2)/2)Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((9 + 9)/2 , (10 + 2)/2) M = (18/2 , 12/2) M = (9, 6)

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A line segment has the endpoints $G(9,10)$ and $H(9,2)$ . 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(9,10)

and

H(9,2)

. 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: $\left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$
Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints $G(9,10)$ and $H(9,2)$ . Substitute $(9, 10)$ for $(x_1, y_1)$ and $(9, 2)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{9 + 9}{2} , \frac{10 + 2}{2}\right)$
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{9 + 9}{2} , \frac{10 + 2}{2}\right)$ $M = \left(\frac{18}{2} , \frac{12}{2}\right)$ $M = (9, 6)$