Final answer:
The correct midpoint of the line segment with endpoints (8,-6) and (-4,4) is (2, -1), which does not match any of the given multiple-choice options.
Step-by-step explanation:
The midpoint of a line segment with endpoints (8,-6) and (-4,4) can be found using the midpoint formula, which is \((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\). Substituting the given coordinates into the formula, we get the midpoint as \(M = (\frac{8 + (-4)}{2}, \frac{-6 + 4}{2})\). This simplifies to \(M = (\frac{4}{2}, \frac{-2}{2})\), which results in the midpoint being \(M = (2, -1)\). None of the options provided in the multiple-choice question matches the correct answer, so the student might need to recheck their answer choices or the calculation if given in a test setting.