A line segment has the endpoints P(6,3) and Q(10,3). 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 P(6,3) and Q(10,3). Substitute (6, 3) for (x_1, y_1) and (10, 3) for (x_2, y_2) into the midpoint formula. M = ((6 + 10)/2, (3 + 3)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((6 + 10)/2, (3 + 3)/2) = (16/2, 6/2) = (8, 3).

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A line segment has the endpoints $P(6,3)$ and $Q(10,3)$ . 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

P(6,3)

and

Q(10,3)

. 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 $P(6,3)$ and $Q(10,3)$ . Substitute $(6, 3)$ for $(x_1, y_1)$ and $(10, 3)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{6 + 10}{2}, \frac{3 + 3}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{6 + 10}{2}, \frac{3 + 3}{2}\right) = \left(\frac{16}{2}, \frac{6}{2}\right) = (8, 3)$ .