Say the equation is $2x + 3y = 6$, why would it be parallel to z axis? What would it look like?
2025-01-12 23:29:38.1736724578
How to sketch what would a 3-D graph parallel to an axis look like?
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Notice that the equation does not depend on $z$, so it would take same values for any $z$ of your choice. Whatever the 2D graph of that looks like (it is actually a line with more traditional equation $y = 2 - 2x/3$) will get copied across the entire z-range, becoming a plane in 3D.