Find the Tangent Line to the Ellipse $\frac{x^{2}}{24}+\frac{y^{2}}{6}=1$ At the Point $(2,-\sqrt{3})$

Multiple Choice

Find the tangent line to the ellipse $\frac{x^{2}}{24}+\frac{y^{2}}{6}=1$ at the point $(2,-\sqrt{3})$ .

A) $y=\frac{\sqrt{3}}{3} x-4$
B) $y=\frac{\sqrt{3}}{6} x-\frac{4 \sqrt{3}}{3}$
C) $y=-\sqrt{6} x-3$
D) $y=\sqrt{3} x-4$
E) $\text { None of these }$