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 $\sqrt { x + 12 }$ at $( 4,4 )$ .

A) $\frac { 1 } { 4 }$
B) 4
C) $\infty$
D) $\frac { 1 } { 8 }$
E) the slope is undefined at this point