Q(8,8) and R(10,6) are the endpoints of a line segment. What is the midpoint M of that line segment? 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(8,8) and R(10,6). Substitute (8, 8) for (x_1, y_1) and (10, 6) for (x_2, y_2) into the midpoint formula. M = ((8 + 10)/2 , (8 + 6)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((8 + 10)/2 , (8 + 6)/2) M = (18/2 , 14/2) M = (9, 7).

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$Q(8,8)$ and $R(10,6)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

Full solution

Q(8,8)

and

R(10,6)

are the endpoints of a line segment. What is the midpoint

M

of that line segment?

\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 $Q(8,8)$ and $R(10,6)$ . Substitute $(8, 8)$ for $(x_1, y_1)$ and $(10, 6)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{8 + 10}{2} , \frac{8 + 6}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{8 + 10}{2} , \frac{8 + 6}{2}\right)$ $M = \left(\frac{18}{2} , \frac{14}{2}\right)$ $M = (9, 7)$ .