Given R(-6,19) and S(14,-6), what are the coordinates of the point on segment RS two-fifths of the distance from R and S?

1 answer

let that point be P(x,y)

the way I read your question is ...
the ratio of RP : PS = 2 : 3

for the x-coordinate:
(x+6)/(14+6) = 2/5
x+6 = 20(2/5) = 8
x = 2

do the y in the same way.