Draw coordinate lines on image and manipulation

Question

I need a requirement like, My web page has an image having fixed size. Then I have to show graph lines depends on input like (1,1) means i have to how all image as one box.if input like (2,2) i have to show 2 by 2 matrix lines like 4 regions on image similar (n,m) and need control over the regions like to color specific region.

I am searching for direction to start using java script plugins.
If i can get any suggestions from you flocks, that would be very helpful.

Thanks in advance.