A line segment has the endpoints V(6,10) and W(6,6). 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 V(6,10) and W(6,6). Substitute (6, 10) for (x_1, y_1) and (6, 6) for (x_2, y_2) into the midpoint formula. M = ((6 + 6)/2, (10 + 6)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((6 + 6)/2, (10 + 6)/2) = (12/2, 16/2) = (6, 8).

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A line segment has the endpoints $V(6,10)$ and $W(6,6)$ . 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

V(6,10)

and

W(6,6)

. 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 $V(6,10)$ and $W(6,6)$ . Substitute $(6, 10)$ for $(x_1, y_1)$ and $(6, 6)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{6 + 6}{2}, \frac{10 + 6}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = ((6 + 6)/2, (10 + 6)/2) = (12/2, 16/2) = (6, 8)$ .