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Question
Is the line 3x + 2y = 5 parallel to the line x + 2y = 1?
Solution
∴ 3x + 2y = 5
2y = −3x + 5
`y = (-3x)/2 + 5/2`
Slope of this line = `(-3)/2`
∴ x + 2y = 1
2y = −x + 1
`y = (-1x)/2 + 1/2`
Slope of this line = `(-1)/2`
Product of slopes of the two lines = `(-3)/2 ≠ (-1)/2`
So, the lines are not parallel to each other.
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