A line segment has the endpoints B(4,8) and C(10,0). 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 B(4,8) and C(10,0). Substitute the given coordinates into the midpoint formula: M = ((4 + 10)/2, (8 + 0)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 10)/2, (8 + 0)/2) = (14/2, 8/2) = (7, 4).

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A line segment has the endpoints $B(4,8)$ and $C(10,0)$ . Find the coordinates of its midpoint $M$ .

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Algebra 1

Midpoint formula: find the midpoint

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Q. A line segment has the endpoints

B(4,8)

and

C(10,0)

. Find the coordinates of its midpoint

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 $B(4,8)$ and $C(10,0)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{4 + 10}{2}, \frac{8 + 0}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $M = ((4 + 10)/2, (8 + 0)/2) = (14/2, 8/2) = (7, 4)$ .