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A line segment has the endpoints $V(9,7)$ and $W(7,7)$ . Find the coordinates of its midpoint $M$ . $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Midpoint formula: find the midpoint

Full solution

Q. A line segment has the endpoints

V(9,7)

and

W(7,7)

. Find the coordinates of its midpoint

M

.

\newline

Write the coordinates as decimals or integers.

\newline

M = (\_,\_)

Midpoint Formula: Identify the midpoint formula for a line segment. $\newline$ The midpoint formula is the average of the $x$ -coordinates and the $y$ -coordinates of the endpoints. $\newline$ Midpoint: $\left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$
Substitute Endpoints: Endpoints: $V(9, 7)$ and $W(7, 7)$ $\newline$ Substitute $(9, 7)$ for $(x_1, y_1)$ and $(7, 7)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{9 + 7}{2} , \frac{7 + 7}{2}\right)$
Calculate Coordinates: Calculate the coordinates of $M$ . $\newline$ $M = \left(\frac{9 + 7}{2} , \frac{7 + 7}{2}\right)$ $\newline$ $M = \left(\frac{16}{2}, \frac{14}{2}\right)$ $\newline$ $M = (\(8\), \(7\))

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