Determining if cyclone tracks pass over certain meshgrid cell areas.

I am ploting the frequency of cyclones in a certain area and have created a meshgrid which covers this area. I wish to construct a color matrix which shows the frequency of cyclones that pass over that cell.

Is there any way of determining if a cyclone track, given by x and y coordinates with a timestep of 3 hours, passes over a cell?

Basically looking for a way to see if a line intersects an area.

Any help would be greatly appreciated.