Find the formula for a function $f(x,y)$ with two given cross sections

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I have done problems where I am given a contour map and I am asked to find a formula of a linear function but I am having trouble with this one. I found the change in $x$ over the change in $z$ but I can't figure anything out in terms of $y$. I have to give an exact answer and I have no idea how to get a slope involving $y$ besides estimating.

Am I missing something? Also sorry if I included a wrong tag or messed up the formatting, this is my first question on here.