Find the Equation of the Tangent Line to the Graph $f ( x ) = \frac { 1 } { x }$

Multiple Choice

Find the equation of the tangent line to the graph of $f ( x ) = \frac { 1 } { x }$ at the point $\left( 6 , \frac { 1 } { 6 } \right)$ .

A) $y = - \frac { 1 } { 36 } x + \frac { 1 } { 3 }$
B) $y = - \frac { 1 } { 6 } x + \frac { 1 } { 3 }$
C) $y = \frac { 1 } { 36 } x$
D) $y = \frac { 1 } { 6 } x + \frac { 1 } { 3 }$