Answer:
(6 , -3)
Step-by-step 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 = [tex]x1+\frac{a}{a+b}(x2-x1)[/tex]
yk = [tex]y1+\frac{a}{a+b}(y2-y1)[/tex]
Plug values in the equation
xk = 8 + (1)/(1+4) (-2-8)
xk = 6
yk = -6 (1)/(1+4)(9+6)
yk = -3
