A line segment has the endpoints Q(5,8) and R(3,6). 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 Q(5,8) and R(3,6). Substitute (5, 8) for (x_1, y_1) and (3, 6) for (x_2, y_2) into the midpoint formula. M = ((5 + 3)/2, (8 + 6)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((5 + 3)/2, (8 + 6)/2) M = (8/2, 14/2) M = (4, 7).

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A line segment has the endpoints $Q(5,8)$ and $R(3,6)$ . 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

Q(5,8)

and

R(3,6)

. 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 $Q(5,8)$ and $R(3,6)$ . Substitute $(5, 8)$ for $(x_1, y_1)$ and $(3, 6)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{5 + 3}{2}, \frac{8 + 6}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = \left(\frac{5 + 3}{2}, \frac{8 + 6}{2}\right)$ $\newline$ $M = \left(\frac{8}{2}, \frac{14}{2}\right)$ $\newline$ $M = ($4$, $7$).