Question

Show that the lines x – 2y – 7 = 0 and 2x − 4y + 5 = 0 are parallel to each other.

Answer 1

Let m₁ be the slope of the line x – 2y –  7 = 0.

∴ m₁ = `(-1)/(-2) = 1/2`

Let m₂ be the slope of the line 2x – 4y + 5 = 0.

∴ m₂ = `(-2)/(-4) = 1/2`

Since, m₁ = m₂
∴ The given lines are parallel to each other.