Perhaps it's easier to see in degrees:
  
 1 radian = 57.3 degrees
  
 2 radians = 114.6 degrees
  
 -7 radians = -401.1 degrees  This has rotated clockwise by more than 360 degrees.  How much more?  -41.1  So it's in the fourth quadrant.
  
 -9 radians = -515.7 degrees.  This has also rotated clockwise by more than 360 degrees.  How much more?  -155.7.  This place it in the third quadrant, which doesn't match any of the points on your diagram!