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As the title says, I have a Line object like this:

Line[{{1,2,3},{4,5,6},...,{7,8,9}}]

and want to extract certain points. I have no clue how to do this. Thanks for help

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    $\begingroup$ Line[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}][[1, 1]] yields {1, 2, 3}. $\endgroup$ – AccidentalFourierTransform Apr 26 '18 at 14:33
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Using the third argument of Extract:

ClearAll[extractPoints]
extractPoints = Extract[#, {1, ## & @@ #} & /@ #2, Point] &;

Example:

line = Line[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}];
extractPoints[line, {3, {1, 2}, {2, 3}}]

{Point[{7, 8, 9}], Point[2], Point[6]}

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