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
Assuming: m1 and m2 be the slope of the lines (1) and (2), respectively.
∴ m1 = \(-\frac{4}{3}\) , m2 = - 8
Let θ be the angle between the lines (1) and (2).
⇒ θ = \(tan^{-1}\Big(\frac{4}{7}\Big)\)
Hence, the tangent of the angles between the lines is \(\frac{4}{7}\) .
