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This operation isn't too difficult if you have 2 simple straight lines. If you're working with lines that are right angles, it might be easy to draw a single line between two end points, add a node in the middle, and then manually assign coordinates to that node instead of drawing a new line. (If Inkscape doesn't automatically snap to these, check what snapping options you have set and try again).
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This is not easily accomplished in Inkscape.
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