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Question
Find the value of a line perpendicular to the given line 2x-3y = 4
Solution
When the lines are perpendicular to the product of their slopes is -1
i.e m1 x m2 = -1
2x - 3y = 4
3y = 2x -4
y = `2/3"x" -4/3`
Slope m1 = `2/3`
Required slope of line (m2)
m1 - m2 = -1
⇒ m2 = `(-1)/"m"_1`
⇒ m2 = `(-1)/(2//3) = -3/2`
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