A line segment has the endpoints F(4,6) and G(0,8). 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(4,6) and G(0,8). Substitute the given coordinates into the midpoint formula: M = ((4 + 0)/2, (6 + 8)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 0)/2, (6 + 8)/2) = (4/2, 14/2) = (2, 7).

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A line segment has the endpoints $F(4,6)$ and $G(0,8)$ . 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(4,6)

and

G(0,8)

. 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 $F(4,6)$ and $G(0,8)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{4 + 0}{2}, \frac{6 + 8}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = ((4 + 0)/2, (6 + 8)/2) = (4/2, 14/2) = (2, 7)$ .