Find the Slope of the Curve at the Indicated Point $f ( x ) = \sqrt { x + 4 }$

Multiple Choice

Find the slope of the curve at the indicated point.
-Find an equation of the tangent to the curve $f ( x ) = \sqrt { x + 4 }$ that has slope $\frac { 1 } { 4 }$ .

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