A line segment has the endpoints G(0,8) and H(4,2). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers. M = (_____,_____)

Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint is the average of the coordinates of the endpoints. Midpoint formula: ((x_1 + x_2)/2 , (y_1 + y_2)/2)Given Endpoints: Endpoints: G(0, 8) and H(4, 2) Substitute (0, 8) for (x_1, y_1) and (4, 2) for (x_2, y_2) into the midpoint formula. M = ((0 + 4)/2 , (8 + 2)/2)Substitute Coordinates: Calculate the coordinates of M. M = ((0 + 4)/2 , (8 + 2)/2) M = (4/2, 10/2) M = (2, 5)

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A line segment has the endpoints $G(0,8)$ and $H(4,2)$ . Find the coordinates of its midpoint $M$ . $\newline$ $\newline$ Write the coordinates as decimals or integers. $\newline$ $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

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Q. A line segment has the endpoints

G(0,8)

and

H(4,2)

. Find the coordinates of its midpoint

M

\newline

\newline

Write the coordinates as decimals or integers.

\newline

\newline

M = (\_,\_)

Midpoint Formula: Identify the midpoint formula for a line segment. $\newline$ The midpoint is the average of the coordinates of the endpoints. $\newline$ Midpoint formula: $((x_1 + x_2)/2 , (y_1 + y_2)/2)$
Given Endpoints: Endpoints: $G(0, 8)$ and $H(4, 2)$ $\newline$ Substitute $(0, 8)$ for $(x_1, y_1)$ and $(4, 2)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{0 + 4}{2} , \frac{8 + 2}{2}\right)$
Substitute Coordinates: Calculate the coordinates of $M$ . $\newline$ $M = ((0 + 4)/2 , (8 + 2)/2)$ $\newline$ $M = (4/2, 10/2)$ $\newline$ $M = (2, 5)$