7. Given that the equations of the asymptotes of a hyperbola are $y= \pm \frac{2}{3} x$, and it passes through the point $(3,4)$, the equation of this hyperbola is $\qquad$ .
7. $\frac{y^{2}}{12}-\frac{x^{2}}{27}=1$. Hint: You can set the equation as: $\left(y+\frac{2}{3} x\right)\left(y-\frac{2}{3} x\right)=\lambda$, substitute $(3,4)$, and find $\lambda$.
