<span lang="EN-US

Given:

Intercepts 3, 4 and 1, 8 on the axes

To find:

Tangent of the angle between the lines

Concept Used:

Angle between two lines.

Explanation:

The respective equations of the lines having intercepts 3, 4 and 1, 8 on the axes are

… (1)

… (2)

Assuming:

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

∴m₁, m₂ = -8

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

∴

⇒

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