Need help with this tangent line problem.

Answer:
[tex]y=2\sqrt{3} x-\frac{3}{2}- \frac{ \pi}{ \sqrt{3}};[/tex]
Step-by-step explanation:
according to the slope-interception form y=mx+b, where m=y'(x₀) and b - interception point on Y-axis.
All the details are in the attached picture. Note, the answer consists of non-simplified numbers, it may be simplified into short form using √3≈1.71, and π≈3.14.