Question

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(40, 96)
(85, 105)
(80, 104)
(96, 72)

Answer 1

I don't see the coordinates of K and J in your question — I need those to pick which of the four choices is P.

The point P that is 3/5 of the way from K(x1,y1) to J(x2,y2) is
x = x1 + (3/5)(x2 − x1) = (2/5)x1 + (3/5)x2
y = y1 + (3/5)(y2 − y1) = (2/5)y1 + (3/5)y2.

Give me K and J (their x,y coordinates) and I'll compute which of (40,96), (85,105), (80,104), (96,72) is the correct P.