To find the midpoint \( M \) of a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), we can use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
For the given points \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \):
- \( x_1 = -1.4 \)
- \( y_1 = 2.5 \)
- \( x_2 = 2.6 \)
- \( y_2 = -1.5 \)
Now, we can calculate the \( x \)-coordinate of the midpoint:
\[ x_M = \frac{-1.4 + 2.6}{2} = \frac{1.2}{2} = 0.6 \]
Next, we calculate the \( y \)-coordinate of the midpoint:
\[ y_M = \frac{2.5 + (-1.5)}{2} = \frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5 \]
Thus, the midpoint \( M \) is:
\[ M(0.6, 0.5) \]
Rounding to the tenth place, we have:
\[ M = (0.6, 0.5) \]
Final answer:
The midpoint of segment \( AB \) is \( (0.6, 0.5) \).