Given:

……(i)

……(ii)

To prove:

The tangent of an angle between the lines and is

Concept Used:

Angle between two lines.

Assuming:

m₁ and m₂ be the slope of the lines (1) and (2), respectively.

Explanation:

∴m₁, m₂

Let θ be the angle between the lines (1) and (2).

∴

Hence proved, the tangent of the angles between the lines is .