Final answer:
To find the coordinates of point K on line JL that divides it two-thirds of the way from point J to point L, we can use the midpoint formula.
Step-by-step explanation:
Given JL with coordinates (8, -8) and L(-16, -2), we can find the coordinates of K if K divides JL two-thirds of the way from J to L. To find the coordinates of K, we use the midpoint formula. The x-coordinate of K is found by taking two-thirds of the difference between the x-coordinates of J and L, and adding it to the x-coordinate of J.
The y-coordinate is found by taking two-thirds of the difference between the y-coordinates of J and L, and adding it to the y-coordinate of J. Therefore, the coordinates of K are (8 + (2/3)(-24), -8 + (2/3)(6)) which simplifies to (-8, -2).