A line segment has the endpoints S(81, –35) and T(–47, –79). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers.

To find the coordinates of the midpoint \( M \) of the line segment with endpoints \( S(x_1, y_1) \) and \( T(x_2, y_2) \), you can use the midpoint formula:

\[
M \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

For the endpoints \( S(81, -35) \) and \( T(-47, -79) \), we have:

- \( x_1 = 81 \)
- \( y_1 = -35 \)
- \( x_2 = -47 \)
- \( y_2 = -79 \)

Now, substitute these values into the formula:

\[
M \left( \frac{81 + (-47)}{2}, \frac{-35 + (-79)}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{81 - 47}{2} = \frac{34}{2} = 17
\]

Calculating the y-coordinate:

\[
\frac{-35 - 79}{2} = \frac{-114}{2} = -57
\]

Therefore, the coordinates of the midpoint \( M \) are:

\[
M(17, -57)
\]