1.66: Finding a curve from a fractional second derivative

A curve is such that $\dfrac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}} = (2x - 5)^{-\frac{1}{2}}$. Given that the curve has a gradient of $6$ at the point $\left(\dfrac{9}{2}, \dfrac{2}{3}\right)$, find the equation of the curve.