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

Answer 1

The answer is (40,96), hope it helps :)

Answer 2

`\left ( (3x_2+5x_1)/(8),(3y_2+5y_1)/(8) \right )`

Explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be
`(x_1,y_1)\,,\,(x_2,y_2)` such that the point
`p(x,y)` divides KJ in ratio
`m:n`

Then coordinates of point P are given by
`\left ( (mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n) \right )`

Take
`m:n=3:5`

So,

coordinates of point P =
`\left ( (3x_2+5x_1)/(3+5),(3y_2+5y_1)/(3+5) \right )=\left ( (3x_2+5x_1)/(8),(3y_2+5y_1)/(8) \right )`