A line segment has the endpoints Q(5,7) and R(1,5). 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 Q(5,7) and R(1,5). Substitute (5, 7) for (x_1, y_1) and (1, 5) for (x_2, y_2) into the midpoint formula. M = ((5 + 1)/2, (7 + 5)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((5 + 1)/2, (7 + 5)/2) = (6/2, 12/2) = (3, 6).

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A line segment has the endpoints $Q(5,7)$ and $R(1,5)$ . 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

Q(5,7)

and

R(1,5)

. 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 $Q(5,7)$ and $R(1,5)$ . Substitute $(5, 7)$ for $(x_1, y_1)$ and $(1, 5)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{5 + 1}{2}, \frac{7 + 5}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = ((5 + 1)/2, (7 + 5)/2) = (6/2, 12/2) = (3, 6)$ .