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

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A line segment has the endpoints $F(9,3)$ and $G(3,9)$ . 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

F(9,3)

and

G(3,9)

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