Answer:
(6 , -3)
Explanation:
Given in the question,
point J(8,-6)
x1 = 8
y1 = -6
point L(-2,9)
x2 = -2
y2 = 9
Location of point K which is 1/5 of the way from J to L
which means ratio of point K from J to L is 1 : 4
a : b
1 : 4
xk =

yk =

Plug values in the equation
xk = 8 + (1)/(1+4) (-2-8)
xk = 6
yk = -6 (1)/(1+4)(9+6)
yk = -3