Question

the straight line joining the points a=(a,b), b=(c,d) is divided into the n equal parts. show that the coordinates of rth point of subdivision from a are [a+r(c-a)/n,b+r(d-b)/n

Answer 1

Answer:

Let the distance between A and B be n.

Let the distance be cut by r(x,y) in the ratio M1:M2.

Therefore, M1+M2=n.

Let M1 be r,

Therefore, M2=n-r.

After this step see the picture given above.

I hope the soution was understandable