Correct Answer: Option A

Explanation

To find the coordinates of the midpoint \( M \) of the line segment joining the points \( A(3, -4) \) and \( B(-1, 10) \), we use the midpoint formula:

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

Substituting the coordinates of points \( A \) and \( B \):

- \( x_1 = 3 \)
- \( y_1 = -4 \)
- \( x_2 = -1 \)
- \( y_2 = 10 \)

Calculating the coordinates of the midpoint:

\(M = \left( \frac{3 + (-1)}{2}, \frac{-4 + 10}{2} \right) = \left( \frac{3 - 1}{2}, \frac{6}{2} \right) = \left( \frac{2}{2}, 3 \right) = (1, 3)\)

Thus, the coordinates of the midpoint are (1, 3).

There is an explanation video available below.

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