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If you are referring to the lines Mr. Lavelle drew in lecture between the elements that were bounded together such as (C----C), the line just represents the covalent bond between the elements, 2e- per line.
I think we probably will be using lines in the future since it's a faster way of representing larger molecules, but the Lewis Structure allows you to see resonance and lone pairs more clearly so you can later determine the shapes of the molecules.
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