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 \( \dfrac{\sqrt{29}}{3} \), then \( B \) also lies on the line:
\( 2x+y=9 \)
\( 3x-2y=7 \)
\( x+2y=6 \)
\( 2x-3y=3 \)
