Answer
Hyperbola
Work Step by Step
$x=\frac{9}{y}$
Rearrange the equation,
$xy=9$
Compare it with the standard equation of a hyperbola $xy=c$ where the asymptotes are the axes.
$x=\frac{9}{y}$
Now choose some values of x and compute the corresponding y values.
$\begin{matrix}
x & y \\
1 & 9 \\
3 & 3 \\
-1 & 9 \\
-3 & -3 \\
\end{matrix}$
Now, plot all the values.