Final answer:
The coordinates of point K are (-1, 8.5).
Step-by-step explanation:
To find the coordinates of point K, we need to use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.
In this case, we have the coordinates of the midpoint M(-3, 11) and one endpoint J(1, 6).
The x-coordinate of K is the average of -3 and 1, which is (-3 + 1) / 2 = -2 / 2 = -1. Similarly, the y-coordinate of K is the average of 11 and 6, which is (11 + 6) / 2 = 17 / 2 = 8.5.
Therefore, the coordinates of point K are (-1, 8.5).