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Question 49971This question is from textbook Beginning Algebra
: Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 6y = 30
L2 with equation 6x + y = 6
This question is from textbook Beginning Algebra
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! Find the slope of each line. If the slopes are the same, the lines are parallel. If the slopes are negative reciprocals, the lines are perpendicular.
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L1 with equation x – 6y = 30
m = -(A/B) [Formula for the slope of a line in standard form]
m =-(1/-6) = 1/6[Plug-in the values]
m = 1/6
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L2 with equation 6x + y = 6
m = -(A/B) [Formula for the slope of a line in standard form]
m = -(6/1) = -6 [Plug-in the values]
m = -6
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The slopes are negative reciprocals, therefore L1 and L2 are perpendicular.
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