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Question
Lines 2x – by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b.
Solution
2x – by + 5 = 0
by = 2x + 5
`y = (2x)/b + 5/b`
Slope of this line = `2/b`
ax + 3y = 2
3y = −ax + 2
`y = (-ax)/3 + 2/3`
Slope of this line =`(-a)/3`
Since, the lines are parallel, so the slopes of the two lines are equal.
∴ `2/b = (-a)/3`
ab = −6
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