A line segment has the endpoints B(2,0) and C(0,6). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers. M = (_____,_____)

Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint is the average of the coordinates of the endpoints. Midpoint formula: ((x_1 + x_2)/2 , (y_1 + y_2)/2)Given Endpoints: Endpoints: B(2, 0) and C(0, 6) Substitute (2, 0) for (x_1, y_1) and (0, 6) for (x_2, y_2) into the midpoint formula. M = ((2 + 0)/2 , (0 + 6)/2)Substitute Values: Calculate the coordinates of M using the substituted values. M = ((2 + 0)/2 , (0 + 6)/2) M = (2/2 , 6/2) M = (1, 3)

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A line segment has the endpoints $B(2,0)$ and $C(0,6)$ . 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

B(2,0)

and

C(0,6)

. Find the coordinates of its midpoint

M

\newline

Write the coordinates as decimals or integers.

\newline

M = (\_,\_)

Midpoint Formula: Identify the midpoint formula for a line segment. $\newline$ The midpoint is the average of the coordinates of the endpoints. $\newline$ Midpoint formula: $((x_1 + x_2)/2 , (y_1 + y_2)/2)$
Given Endpoints: Endpoints: $B(2, 0)$ and $C(0, 6)$ $\newline$ Substitute $(2, 0)$ for $(x_1, y_1)$ and $(0, 6)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{2 + 0}{2} , \frac{0 + 6}{2}\right)$
Substitute Values: Calculate the coordinates of $M$ using the substituted values. $M = \left(\frac{2 + 0}{2} , \frac{0 + 6}{2}\right)$ $M = \left(\frac{2}{2} , \frac{6}{2}\right)$ $M = (1, 3)$