Two lines $L _ { 1 } , L _ { 2 }$ on the coordinate plane both have positive slopes, and the angle bisector of one of the angles formed by $L _ { 1 } , L _ { 2 }$ has slope $\frac { 11 } { 9 }$ . Another line $L$ passes through the point $( 2 , \frac { 1 } { 3 } )$ and forms a bounded region with $L _ { 1 } , L _ { 2 }$ that is an equilateral triangle. Which of the following options is the equation of $L$? (1) $11 x - 9 y = 19$ (2) $9 x + 11 y = 25$ (3) $11 x + 9 y = 25$ (4) $27 x - 33 y = 43$ (5) $27 x + 33 y = 65$
Two lines $L _ { 1 } , L _ { 2 }$ on the coordinate plane both have positive slopes, and the angle bisector of one of the angles formed by $L _ { 1 } , L _ { 2 }$ has slope $\frac { 11 } { 9 }$ . Another line $L$ passes through the point $( 2 , \frac { 1 } { 3 } )$ and forms a bounded region with $L _ { 1 } , L _ { 2 }$ that is an equilateral triangle. Which of the following options is the equation of $L$?\\
(1) $11 x - 9 y = 19$\\
(2) $9 x + 11 y = 25$\\
(3) $11 x + 9 y = 25$\\
(4) $27 x - 33 y = 43$\\
(5) $27 x + 33 y = 65$