Final answer:
The midpoint M for points S(-8, -6) and T(4, 12) is found by averaging the x and y coordinates of the two points, resulting in M(-2, 3).
Step-by-step explanation:
The midpoint of a line segment connecting two points in a plane can be found by averaging the x-coordinates and the y-coordinates of the end points. Given the points S(-8, -6) and T(4, 12), the midpoint M can be calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).
For the x-coordinates: (-8 + 4)/2 = -4/2 = -2.
For the y-coordinates: (-6 + 12)/2 = 6/2 = 3.
Therefore, the midpoint M is M(-2, 3).