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Is it correct to classify a line which is neither vertical nor horizontal as oblique. I am trying to classify lines in a plane based on the quadrants through which they pass.

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Sure. But there is nothing absolute about the notion, since horizontal and vertical depend on choice of axes. –  André Nicolas Sep 8 '12 at 18:13
Thanks for your help. –  Becky Sep 8 '12 at 18:26

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