In the rectangular coordinate plane, points A and B lie on the line $y = x + 2$, and the distance between them is 3 units.
Given that the coordinates of the midpoint of segment [AB] are $( -1, 1 )$, in which regions of the analytic plane are points A and B located?\\
A) Both in region II\\
B) Both in region III\\
C) One in region I, the other in region II\\
D) One in region I, the other in region III\\
E) One in region II, the other in region III