Answer:

 

Student answers may vary. 

The line will appear to have rotated 90 degrees about the point (3.6, -1.2) (the intersection of the original line and line 4x + 2y = 12).

The lines will be perpendicular – this can be shown in that the slopes of the two lines are ½ (for 2x – 4y = 12) and -2 (for 4x + 2y = 12). 

The slope is negative for the new line (4x + 2y = 12) instead of positive as was the original (2x – 4y = 12).