Answer:
 6. Yes, there is a way to tell. Perpendicular when the product of the slopes equal -1. Parallel = same slope. Same line = same equation(maybe written in different ways like point-slope or standard form).
7. The equations in system 4 are parallel because they have the same slope.
1. purple box = y=-3x+5
 green box = y= 4x-3
 blue box = y= -2/3 + 2
 
Explanation: