the picture in the attached figure
we know that
E(-4,-8) F(9,3)
Find the x-coordinate of the point that divides EF into a 2:3 ratio
let
Rx------> the x-coordinate of the point that divides EF into a 2:3 ratio
(2/5)*EF= ER
(3/5)*EF= RF
ER/RF=2/3
distance EFx=(x2-x1)----> (9+4)----> 13
Rx=Ex+[EFx]*(2/5)
where
Ex is the x coordinate of point E
EFx is the distance x of EF
so
Rx= -4+[13]*(2/5)----> -4+26/5----> (-20+26)/5---> 6/5----> 1.2
the answer is
the x-coordinate of the point is 1.2
