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?
$$f ( x ) = \tan x , c = - \frac { \pi } { 6 }$$

A)
$3 y + \sqrt { 3 } = - 4 \left( x + \frac { \pi } { 6 } \right) ;$ tangent line to $y = f ( x )$ at $x = - \frac { \pi } { 6 }$
B)
$3 y + \sqrt { 3 } = 4 \left( x + \frac { \pi } { 6 } \right) ;$ secant line to $y = f ( x )$ at $x = - \frac { \pi } { 6 }$
C)
$3 y + \sqrt { 2 } = 4 \left( x + \frac { \pi } { 6 } \right) ;$ tangent line to $y = f ( x )$ at $x = - \frac { \pi } { 6 }$
D)
$3 x + \sqrt { 3 } = 4 \left( y + \frac { \pi } { 6 } \right) ;$ differential of $y = f ( x )$ at $x = - \frac { \pi } { 6 }$
E)
$3 y + \sqrt { 3 } = 4 \left( x + \frac { \pi } { 6 } \right) ;$ tangent line to $y = f ( x )$ at $x = - \frac { \pi } { 6 }$