Question

Check whether the given lines are parallel or perpendicular

5x + 23y + 14 = 0 and 23x – 5x + 9 = 0

Answer 1

5x + 23y + 14 = 0 and 23x – 5x + 9 = 0

Slope of the line (m₁) = ${\displaystyle \frac{-5}{23}}$

Slope of the line (m₂) = ${\displaystyle \frac{-23}{-5}=\frac{23}{5}}$

m₁ × m₂ = ${\displaystyle \frac{-5}{23}\times \frac{23}{5}}$ = – 1

∴ The two lines are perpendicular