Show that the coordinates of M, the midpoint of AB, are (-4, 3), given points A = (-12, -1) and B = (4, 7).

Here are the solutions to the problems:

4.1 Show that the coordinates of M, the midpoint of AB, are $(-4, 3)$.
Given points A $= (-12, -1)$ and B $= (4, 7)$.
The midpoint formula is $M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$.

Step 1: Substitute the coordinates of A and B into the midpoint formula.

$$M = \left(\frac{-12+4}{2}, \frac{-1+7}{2}\right)$$

Step 2: Calculate the coordinates of M.

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