To find the midpoint \( M \) of the line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), we use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Given the points:
- \( A(-3.2, 3.5) \) where \( x_1 = -3.2 \) and \( y_1 = 3.5 \)
- \( B(2.1, -2.3) \) where \( x_2 = 2.1 \) and \( y_2 = -2.3 \)
We can calculate the x-coordinate of the midpoint:
\[ \frac{x_1 + x_2}{2} = \frac{-3.2 + 2.1}{2} = \frac{-1.1}{2} = -0.55 \]
Next, we calculate the y-coordinate of the midpoint:
\[ \frac{y_1 + y_2}{2} = \frac{3.5 + (-2.3)}{2} = \frac{3.5 - 2.3}{2} = \frac{1.2}{2} = 0.6 \]
Thus, the midpoint \( M \) is:
\[ M = (-0.55, 0.6) \]
Therefore, the midpoint \( M \) of the line segment with endpoints \( A \) and \( B \) is
\[ \boxed{(-0.55, 0.6)} \]
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