Find a First-Degree Polynomial Function P1 Whose Value and Slope $f$

Multiple Choice

Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of $f$ at $x = c$ . What is $P _ { 1 }$ called?
$$f ( x ) = \frac { 4 } { \sqrt [ 3 ] { x } } , c = 27$$

A) $y = \frac { 4 } { 3 } + \frac { 4 } { 243 } ( x - 27 ) ;$ tangent line to $y = f ( x )$ at $x = 27$
B) $y = \frac { 4 } { 3 } - \frac { 4 } { 243 } ( x - 27 )$ ; secant line to $y = f ( x )$ at $x = 27$
C) $y = \frac { 4 } { 3 } + \frac { 4 } { 243 } ( x - 27 ) ;$ secant line to $y = f ( x )$ at $x = 27$
D) $y = \frac { 4 } { 3 } + \frac { 4 } { 243 } ( x + 27 )$ ; secant line to $y = f ( x )$ at $x = 27$
E) $y = \frac { 4 } { 3 } - \frac { 4 } { 243 } ( x - 27 )$ ; tangent line to $y = f ( x )$ at $x = 27$