Use the Limit Process to Find the Slope of the Graph

Multiple Choice

Use the limit process to find the slope of the graph of the function at the specified point.Use a graphing utility to confirm your result. $g ( x ) = \frac { 1 } { x - 3 } , \quad \left( 6 , \frac { 1 } { 3 } \right)$

A) $m = 3$
B) $m = - 3$
C) $m = 9$
D) $m = - \frac { 1 } { 9 }$
E) $m = \frac { 1 } { 6 }$