Find an Equation of the Tangent Line to the Graph $7 x ^ { 2 } - 2 x y + 4 y ^ { 2 } - 36 = 0 , \quad ( 2 , - 1 )$

Multiple Choice

Find an equation of the tangent line to the graph of the function given below at the given point. $7 x ^ { 2 } - 2 x y + 4 y ^ { 2 } - 36 = 0 , \quad ( 2 , - 1 )$ (The coefficients below are given to two decimal places.)

A) $y = 7.50 x + 16.00$
B) $y = 2.50 x + 16.00$
C) $y = 2.50 x - 6.00$
D) $y = - 2.50 x - 6.00$
E) $y = 7.50 x - 16.00$