Given R(-6,19) and S(15,-5), what are the coordinate of the point on segment RS two thirds of the distance from R to S?
We have
[ ( -6 + (2/3)(15 - -6) , 19 + (2/3) (-5 - 19) ] =
[ -6 + (2/3) (21) , 19 + (2/3) (-24) ] =
[ -6 + 14 , 19 -16 ] =
( 8 , 3)