Question

What are the x- and y-coordinates of point P on the directed line segment from K to J such that P is 3/5

Answer 1

P is
`((3x_(2)+5x_(1) )/(8), (3y_(2)+5y_(1) )/(8))`

Explanation:

Let K be
`(x_(1), y_(1) )` and J be
`(x_(2), y_(2) )`

P divides the line segment KJ in the ratio 3:5.

Then, P is
`((3x_(2)+5x_(1) )/(3+5), (3y_(2)+5y_(1) )/(3+5))`

P is
`((3x_(2)+5x_(1) )/(8), (3y_(2)+5y_(1) )/(8))`