To calculate the midpoint \( M \) of a line segment with endpoints \( S(-3, 1) \) and \( T(5, -4) \), we use the midpoint formula:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
Here, \( (x_1, y_1) = (-3, 1) \) and \( (x_2, y_2) = (5, -4) \).
Now, we can plug these values into the formula:
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Calculate the x-coordinate of the midpoint: \[ \frac{-3 + 5}{2} = \frac{2}{2} = 1 \]
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Calculate the y-coordinate of the midpoint: \[ \frac{1 + (-4)}{2} = \frac{1 - 4}{2} = \frac{-3}{2} = -1.5 \]
Thus, the midpoint \( M \) is:
\[ M = (1, -1.5) \]
So the correct answer is \( \left( 1, -1.5 \right) \).