I came across this problem, to sketch the graph of $f(x,y) = y/x$ using level curves. I have realized that the level curves of the function are of the form $y=kx$. But I don't really know how to draw it on the $\mathbb{R}^3$ space. I would really appreciate some help. Thanks!
2026-03-26 04:36:47.1774499807
How to sketch the graph of $f(x,y)=y/x$ by using level curves?
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$f(x,y) = z = y/x$. So you're saying the intersection with the plane $z =k$ is the line $y=kx$.
Does this help?