Hey there!!
Hmmm you seem familiar :D 
Okay let's get started!!!!  Okay so remember that if two lines are parallel then the slopes must be exactly the same (ex: -4 and -4)  if two lines are perpendicular then the slopes are negative reciprocals (ex: -4 and 1/4) 
y = -3x + 7                             -2x + 6y = 3
                                               y = (x/3) + 1/2
So these two are perpendicular since the slopes negative reciprocals
y = (x/5) + 6                           -2x + 10y = 5
                                                y = (x/5) + 1/2
So these lines are parallel since the slopes are exactly equal 
I hope this helps! 
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