Graphing x/y against y

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This is a question about graphing the relationship between two variables. It is about the ideal gas equation $$pV=nRT$$ to plot ${p}\over{T}$ against $T$, where ${nR}\over{V}$ is constant. How would this graph look like?

And in general, how do you plot ${x}\over{y}$ against $y$?

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I don't know why you want to do that, but plotting $p/T$ vs $T$, you put $T$ on the horizontal axis and $p/T$ on the vertical axis and plot. You get a hyperbola, just like $y=1/x$ In your ideal gas case, if $\frac {nR}V$ is constant, so $p/T$ is, too.

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The ideal gas law tells us that p/T is equal to nR/V, always, for an ideal gas. When using this law, it may helpful to keep in mind that all of the quantities are positive.

When nR/V is constant, so is p/T, because they are always equal. The plot of p/T vs T will be a horizontal straight line. On the usual temperature scales, the temperatures are only positive, so the horizontal straight line should not cross the vertical axis of the plot.

In general, we might have a function y = f(x). If we wanted to plot x/y vs y, we would need to know the function f(x).