Line animation

I want to show intersection lines by making the line appear from left or from top  from small portion to the whole line. I can do this by 2 ways:
1) Cutting the line into small portion on each frame. When playhead moving from first frame to the last frame, the line showing from small portion to bigger portion and lastly the whole line. This is very tedious if I have thousands of intersection lines.
2) By mask. Showing the mask part from small portion to the whole line.
My question : Is there a short cut  ? or faster way to do this ?

are these all straight lines?  if yes, then it's easy to do with actionscript.

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