Find the Equation of the Tangent Line to the Graph $f ( x ) = \frac { 3 } { x }$

Multiple Choice

Find the equation of the tangent line to the graph of $f ( x ) = \frac { 3 } { x }$ at the point $\left( 4 , \frac { 3 } { 4 } \right)$ .

A) $y = \frac { 3 } { 4 } x + \frac { 3 } { 2 }$
B) $y = - \frac { 3 } { 16 } x + \frac { 3 } { 2 }$
C) $y = - \frac { 3 } { 4 } x + \frac { 3 } { 2 }$
D) $y = \frac { 3 } { 16 } x$