Lines of longitude circle earth parallel to the equator?

No. Meridians of constant longitude are semicircles that join thenorth and south poles. Every one of them crosses the equator.

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Do any lines of longitude go through the equator?

Longitude lines appear "vertical" and latitude lines appear "horizontal." Every single line of longitude passes through the equator. If you meant to say latitude, then the answer is no. Not a single one (they run parallel).

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