SOLUTION: Decide whether the pair of lines are parallel,perpendicular, or neither 3x+5y=8 5x-3y=5

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Question 210757: Decide whether the pair of lines are parallel,perpendicular, or neither
3x+5y=8
5x-3y=5
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Put each of these equations into y=mx+b form. m is the slope:
Equation #1:
3x%2B5y=8
5y=-3x%2B8
y=-3x%2F5%2B8%2F5
Slope of Equation #1 = -3/5
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Equation #2:
5x-3y=5
-3y=-5x%2B5
y=5x%2F3-5%2F3
Slope of Equation #2 is 5/3
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You can see the slopes are negative reciprocols of each other. Hence, the lines are perpendicular.
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Good Luck,
tutor_paul@yahoo.com