Find the Linear Function Satisfying the Given Conditions $g ( 0 ) = 0$

Multiple Choice

Find the linear function satisfying the given conditions. $g ( 0 ) = 0$ and $g ( 2 ) = \sqrt { 3 }$

A) $g ( x ) = \frac { \sqrt { 3 x } } { 2 }$
B) $g ( x ) = \frac { \sqrt { 3 } } { 2 } x$
C) $g ( x ) = \frac { \sqrt { 3 } } { 2 } x - 3$
D) $g ( x ) = \frac { \sqrt { 3 } } { 2 } x + 2$
E) $g ( x ) = \frac { 2 \sqrt { 3 } } { 3 } x$