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Question
The lines 3x - 2y + 4 = 0 and 3x + my + 6 = 0 are parallel to each other . Find m.
Solution
Slope of 3x - 2y + 4 = 0 is `3/2`
Slope of 3x + my + 6 = 0 is `(-3)/"m"`
Since the lines are given parallel their slopes must be equal
`therefore 3/2 = (-3)/"m"` ⇒ m = -2
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