Final answer:
The coordinate of point K can be found by using the midpoint formula.
Step-by-step explanation:
The coordinate of point K can be found by using the midpoint formula.
The midpoint formula is:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Using the given coordinates of J(9, -5) and M(5, -2), we can substitute these values into the midpoint formula to find the coordinates of K:
Midpoint = ((9 + 5)/2, (-5 + -2)/2)
Midpoint = (14/2, -7/2)
Midpoint = (7, -7/2)
Therefore, the coordinate of K is (7, -7/2).