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I think you can determine it from the line structure. It just depends on the location of the highest-priority substituents attached to the sp2 carbon. If they're opposite each other, then the molecule is trans. If they're on the same side, the molecule is cis.
Yeah you can see if it's trans or cis by looking at both the line structure or the lewis structure, it's just not as easily noticeable in a line structure as it is in a lewis structure. In the line structure, you look at the attachments to the carbon at either side of the double bond, and you keep going until you reach substituents that aren't hydrogen. Then you compare the substituents on either side of the double bond and see whether they are on the top or on the bottom of the line structure to determine whether they are cis or trans.
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