A line segment has the endpoints F(7,5) and G(9,3). 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(7,5) and G(9,3). Substitute the given coordinates into the midpoint formula: M = ((7 + 9)/2, (5 + 3)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((7 + 9)/2, (5 + 3)/2) = (16/2, 8/2) = (8, 4).

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A line segment has the endpoints $F(7,5)$ and $G(9,3)$ . 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(7,5)

and

G(9,3)

. 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 $F(7,5)$ and $G(9,3)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{7 + 9}{2}, \frac{5 + 3}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{7 + 9}{2}, \frac{5 + 3}{2}\right) = \left(\frac{16}{2}, \frac{8}{2}\right) = (8, 4)$ .