Question

On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
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

P = (160 + (3/5)(-40 − 160), 120 + (3/5)(80 − 120))
= (160 + (3/5)(-200), 120 + (3/5)(-40))
= (160 − 120, 120 − 24)
= (40, 96).

Answer: (40, 96).