Final answer:
The coordinates of the midpoint M of JL are (-4, -5).
Step-by-step explanation:
To find the coordinates of the midpoint M of JL, we use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the following formulas:
x = (x1 + x2)/2
y = (y1 + y2)/2
For the given line segment JL with J(8, -8) and L(-16, -2), we can substitute the values into the midpoint formula to find the coordinates of the midpoint.
x = (8 + (-16))/2 = -4
y = (-8 + (-2))/2 = -5
So, the coordinates of the midpoint M of JL are (-4, -5).