Given g (1,2) and k(8,12) what does it mean to find the point p on line gk such that 3 (gp) = 2 (pk)?

The coordinates of point P is (3.8,6)

Step-by-step explanation:

We are given that 3 (GP) = 2 (PK)

So,  ---A

P is the point of line GK which divides line in two parts GP and Pk

By A we can say that P divides the line in ratio 2:3

To find the coordinates of point P , we will use section formula.

Formula :

m:n = 2:3

Substitute the values in the formula

Hence the coordinates of point P is (3.8,6) .