Answer
See below.
Work Step by Step
The equation of the hyperbola has the form $\frac{(y-h)^2}{a^2}-\frac{(x-k)^2}{b^2}=1$, the center is at $(h,k)$.
Hence here the asymptotes are at $y-k=\pm\frac{a}{b}(x-h)\\y=\pm\frac{4}{9}x$
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