Given R(-6, 19) and S(15, -5), what are the coordinates of the point on segment RS two-thirds of the distance from R to S?
The coordinates of the point are (2/3*(-6) + 1/3*(15), 2/3*19 + 1/3*(-5)) = (1,11).
Going form R to S :
X goes from -6 to 15 a distance of 21 2/3 of this is 14 add 14 to -6 to get x = 8
Y goes from 19 to -5 a distance of -24 2/3 of this is -16 add -16 to 19 to get y = 3
(8,3)