SOLUTION: I am supposed to determine whether the following pairs of lines are (a) parallel, (b) perpendicular or (c)neither, all this without graphing. I don't know how. Please help me. 5x-

Algebra ->  Linear-equations -> SOLUTION: I am supposed to determine whether the following pairs of lines are (a) parallel, (b) perpendicular or (c)neither, all this without graphing. I don't know how. Please help me. 5x-      Log On


   



Question 684925: I am supposed to determine whether the following pairs of lines are (a) parallel, (b) perpendicular or (c)neither, all this without graphing. I don't know how. Please help me.
5x-6y=19
6x+5y=-30

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
First, solve each line for y, to put into slope intercept format as y=mx+b.
...
5x - 6y = 19
6y = 5x - 19
y = %285%2F6%29x+-+19%2F6
...
6x + 5y = -30
5y = -6x - 30
y = %28-6%2F5%29x+-+30%2F5
...
The slopes are 5%2F6 and -6%2F5, which are negative inverses/reciprocals.
...
Perpendicular lines have negative inverse/reciprocal slopes.
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Parallel lines have the same slope.
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These are B, perpendicular.
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