SOLUTION: Determine whether the lines are parallel, perpendicular or neither. Show your work for maximum credit. Write a sentence telling the reason for your choice. 3y=6-x 3x-y=7

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Question 859978: Determine whether the lines are parallel, perpendicular or neither. Show your work for maximum credit. Write a sentence telling the reason for your choice.
3y=6-x
3x-y=7

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3y=6-x
y%5B1%5D=-%281%2F3%29x%2B2
.
.
3x-y=7
y%5B2%5D=3x-7
.
.
Parallel lines have slopes that are identical. Not the case here.
Perpendicular lines have slopes that are negative reciprocals of each other.
m%5B1%5D%2Am%5B2%5D=-1
%28-1%2F3%29%283%29=-1
The lines are perpendicular.