Determine the slope of a plane whose rise in z is zero, but whose change in x and y are not.

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Determine the slope of a plane whose rise in z is zero, but whose change in x and y are not. Explain what this plane looks like.

Would it be a plane in the xy plane? Not sure how to start this problem.

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The condition means that $z=k$ which represent all the planes parallel to $x-y$ plane.