F(8,3) and G(8,7) are the endpoints of a line segment. What is the midpoint M of that line segment? 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: F(8, 3) and G(8, 7) Substitute (8, 3) for (x_1, y_1) and (8, 7) for (x_2, y_2) into the midpoint formula. M = ((8 + 8)/2 , (3 + 7)/2)Substitute Endpoints: Calculate the coordinates of M. M = ((8 + 8)/2 , (3 + 7)/2) M = (16/2 , 10/2) M = (8 , 5)

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$F(8,3)$ and $G(8,7)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

Full solution

F(8,3)

and

G(8,7)

are the endpoints of a line segment. What is the midpoint

M

of that line segment?

\newline

Write the coordinates as decimals or integers.

\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: $F(8, 3)$ and $G(8, 7)$ $\newline$ Substitute $(8, 3)$ for $(x_1, y_1)$ and $(8, 7)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{8 + 8}{2} , \frac{3 + 7}{2}\right)$
Substitute Endpoints: Calculate the coordinates of $M$ . $M = \left(\frac{8 + 8}{2} , \frac{3 + 7}{2}\right)$ $M = \left(\frac{16}{2} , \frac{10}{2}\right)$ $M = (8 , 5)$