Question

Find the slope of a line perpendicular to the foloowing line  x - `(3"y")/2 + 1 = 0`

Answer 1

When two lines are perpendicular to each other the product of their slope is -1.

i.e m₁ x m₂ = -1

 x - `(3"y")/2 + 1 = 0` 

`(3"y")/2` = x + 1

y = `2/3"x" + 2/3`

m₁ = `2/3`

Slope of required line (m₂) = `-1/"m"_1 = (-3)/2`