Question

Find the slope of a line perpendicular to the foloowing line `"x"/2 + "y"/3 = 4/3`

Answer 1

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

i.e m₁ x m₂ = -1

`"x"/2 + "y"/3 = 4/3`

3x + 2y = 8

y = -`3/2"x" + 4` 

m₁ = `-3/2`

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