Diketahui a(2,-1),b(-4,2) tentukan koordinat titik cjika ab:bc=3:2 bantuin ya,,,buatin carnya

AB/BC = 3/2
(b-a)/(c-b)= 3/2
2b – 2a = 3c – 3b
3b +2b – 2a = 3c
c=1/3(5b -2a)
c= 1/3 (5(-4,2) -3(2,-1))
c=1/3 ((-20,10)- (6,-3))
c = 1/3 (-26 , 13)
c= (-26/3, 13/3)