To find the midpoint \( M \) of a line segment with endpoints \( S(-3, 1) \) and \( T(5, -4) \), we can use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
where \( (x_1, y_1) \) are the coordinates of point \( S \) and \( (x_2, y_2) \) are the coordinates of point \( T \).
Substituting in the values:
\[ x_1 = -3, \quad y_1 = 1, \quad x_2 = 5, \quad y_2 = -4 \]
Calculating the midpoint:
\[ M_x = \frac{-3 + 5}{2} = \frac{2}{2} = 1 \]
\[ M_y = \frac{1 + (-4)}{2} = \frac{1 - 4}{2} = \frac{-3}{2} = -1.5 \]
Thus, the midpoint \( M \) is:
\[ M(1, -1.5) \]
The correct response is:
\((1, -1.5)\)