Question

Find the value of a line perpendicular to the given line  5x+2y-9 = 0

Answer 1

When the lines are perpendicular to the product of their slopes is -1

i.e m₁ x m₂ = -1

5x+2y-9 = 0 

2y = -5x + 9

y = `-5/2"x" + 9/2`

m₁ = `-5/2`

Required slope m₂ = `-1/"m" = (-1)/(-5//2) = 2/5`