C(4,3) and D(8,7) 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 C(4,3) and D(8,7). Substitute (4, 3) for (x_1, y_1) and (8, 7) for (x_2, y_2) into the midpoint formula. M = ((4 + 8)/2, (3 + 7)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 8)/2, (3 + 7)/2) = (12/2, 10/2) = (6, 5).

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$C(4,3)$ and $D(8,7)$ 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

C(4,3)

and

D(8,7)

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 $C(4,3)$ and $D(8,7)$ . Substitute $(4, 3)$ for $(x_1, y_1)$ and $(8, 7)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{4 + 8}{2}, \frac{3 + 7}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((4 + 8)/2, (3 + 7)/2) = (12/2, 10/2) = (6, 5)$ .