SOLUTION: I have 2 questions. 1) are 3x+y=5 and -x+3y=6 perpendicular? 2) are 3x+y=5 and x+y=3 perpendicular?

Algebra ->  Graphs -> SOLUTION: I have 2 questions. 1) are 3x+y=5 and -x+3y=6 perpendicular? 2) are 3x+y=5 and x+y=3 perpendicular?      Log On


   

Question 31832: I have 2 questions.
1) are 3x+y=5 and -x+3y=6 perpendicular?
2) are 3x+y=5 and x+y=3 perpendicular?
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Equations in the first question are perpendicular to each other; the second one is not.
Slope of the first equation in (1) is -3; slope of the second equation is 1/3;
Product of the slopes is -1, implying they are perpendicular.