Dividing Line Segments
Explanation
Dividing a line segment in a ratio:
If point P divides segment AB in ratio :
P= ({nx1+mx2}/{m+n}, {ny1+my2}/{m+n})
Example: A(2,3) and B(6,7), divide in ratio 1:3
P = ( {3*2 + 1*6}/{1+3}, {3*3 + 1*7}/{1+3} ) = (3,4)