Question

Find the value of a line perpendicular to the given line  2x-3y = 4

Answer 1

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`