Answer:
Quadrant II
Step-by-step explanation:
We can convert [tex]-\frac{7\pi}{6}[/tex] radians to degrees by multiplying by [tex]\frac{180}{\pi}[/tex] to get [tex]-210^{\circ}[/tex].
[tex]-210^{\circ}[/tex] means we are rotating [tex]210^{\circ}[/tex] clockwise, so you would end up in Quadrant II.