Final answer:
The other endpoint is (-8, -8).
Step-by-step explanation:
To find the other endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two endpoints, (x1, y1) and (x2, y2), is given by the formula ((x1 + x2)/2, (y1 + y2)/2). In this case, we know the midpoint is (-6, -12) and one endpoint is (-4, -16).
Let's call the other endpoint (x, y). Using the midpoint formula, we can set up the following equations:
((-4 + x)/2, (-16 + y)/2) = (-6, -12)
Solving for x and y, we find that the other endpoint is (-8, -8).