B(4,5) and C(6,9) 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 B(4,5) and C(6,9). Substitute (4, 5) for (x_1, y_1) and (6, 9) for (x_2, y_2) into the midpoint formula. M = ((4 + 6)/2 , (5 + 9)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 6)/2 , (5 + 9)/2) M = (10/2, 14/2) M = (5, 7).

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$B(4,5)$ and $C(6,9)$ 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

B(4,5)

and

C(6,9)

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. The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: 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 $B(4,5)$ and $C(6,9)$ . Substitute $(4, 5)$ for $(x_1, y_1)$ and $(6, 9)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{4 + 6}{2} , \frac{5 + 9}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{4 + 6}{2} , \frac{5 + 9}{2}\right)$ $M = \left(\frac{10}{2}, \frac{14}{2}\right)$ $M = (5, 7)$ .