A line segment has the endpoints S(4,3) and T(2,1). 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 is the average of the coordinates of the endpoints. Midpoint formula: ((x_1 + x_2)/2 , (y_1 + y_2)/2)Substitute endpoints into formula: Endpoints: S(4, 3) and T(2, 1) Substitute (4, 3) for (x_1, y_1) and (2, 1) for (x_2, y_2) into the midpoint formula. M = ((4 + 2)/2 , (3 + 1)/2)Calculate coordinates of M: Calculate the coordinates of M. M = ((4 + 2)/2 , (3 + 1)/2) M = (6/2, 4/2) M = (3, 2)

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A line segment has the endpoints $S(4,3)$ and $T(2,1)$ . 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

S(4,3)

and

T(2,1)

. Find the coordinates of its midpoint

M

\newline

Write the coordinates as decimals or integers.

\newline

M = (\_,\_)

Identify 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: $((x_1 + x_2)/2 , (y_1 + y_2)/2)$
Substitute endpoints into formula: Endpoints: $S(4, 3)$ and $T(2, 1)$ $\newline$ Substitute $(4, 3)$ for $(x_1, y_1)$ and $(2, 1)$ for $(x_2, y_2)$ into the midpoint formula. $\newline$ $M = \left(\frac{4 + 2}{2} , \frac{3 + 1}{2}\right)$
Calculate coordinates of M: Calculate the coordinates of M. $\newline$ M = (( $4 + 2)/2 , (3 + 1)/2$ ) $\newline$ M = ( $6/2, 4/2$ ) $\newline$ M = ( $3, 2$ )