A line segment has the endpoints F(6,9) and G(8,5). 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(6,9) and G(8,5). Substitute the given coordinates into the midpoint formula: M = ((6 + 8)/2, (9 + 5)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((6 + 8)/2, (9 + 5)/2) M = (14/2, 14/2) M = (7, 7)

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A line segment has the endpoints $F(6,9)$ and $G(8,5)$ . 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(6,9)

and

G(8,5)

. 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 $F(6,9)$ and $G(8,5)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{6 + 8}{2}, \frac{9 + 5}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{6 + 8}{2}, \frac{9 + 5}{2}\right)$ $M = \left(\frac{14}{2}, \frac{14}{2}\right)$ $M = (7, 7)$