Final answer:
To find the missing endpoint, use the midpoint formula to calculate the coordinates of point M.
Step-by-step explanation:
To find the missing endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of a midpoint between two points (x1, y1) and (x2, y2) is given by:
M = ((x1 + x2)/2, (y1 + y2)/2)
In this case, we are given the coordinates of point L (-9, 4) and the midpoint K (2, -1). To find the missing endpoint M, we can use the midpoint formula:
M = ((-9 + 2)/2, (4 + -1)/2)
M = (-7/2, 3/2)
So the missing endpoint M is (-7/2, 3/2).