A line, with the slope greater than one, passes through the point $A(4,3)$ and intersects the line $x - y - 2 = 0$ at the point $B$. If the length of the line segment $AB$ is $\frac { \sqrt { 29 } } { 3 }$, then $B$ also lies on the line\\
(1) $2x + y = 9$\\
(2) $3x - 2y = 7$\\
(3) $x + 2y = 6$\\
(4) $2x - 3y = 3$