Final answer:
The coordinates of the midpoint M of the line segment with endpoints A(-3, 1) and B(5, -9) are (1, -4) using the midpoint formula.
Step-by-step explanation:
To find the coordinates of the midpoint M of the line segment with endpoints A(-3, 1) and B(5, -9), you can use the midpoint formula which is M = ((x1 + x2) / 2, (y1 + y2) / 2). Plugging in the coordinates of the endpoints A and B:
M = ((-3 + 5) / 2, (1 - 9) / 2)
= (2 / 2, -8 / 2)
= (1, -4)
Therefore, the coordinates of the midpoint M are (1, -4).