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 $\left( 2 , \frac { 1 } { 2 } \right)$ .

A) $y = - \frac { x } { 4 } + 1$
B) $y = - \frac { x } { 2 } + 1$
C) y = -x + 1
D) $y = \frac { x } { 2 } + 1$