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Question
Is the line x – 3y = 4 perpendicular to the line 3x – y = 7?
Solution
x − 3y = 4
3y = x − 4
`y = 1/3x - 4/3`
Slope of this line = `1/3`
3x − y = 7
y = 3x − 7
Slope of this line = 3
Product of slopes of the two lines = 1 ≠ −1
So, the lines are not perpendicular to each other.
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