Question

The slope of a line is double of the slope of another line. If tangents of the angle between them is 1/3, find the slopes of the other line.

Answer 1

Given, The tangent of the angle between them is \(\frac{1}{3}\)

To Find Slope of the other line. 

Assumption: The slope of line m₁ = x, and m₂ = 2x 

Formula used: tan θ = \(|\frac{m_1-m_2}{1+m_1m_2}|\)

Explanation: We have tan θ = \(\frac{1}{3}\) given, then

Hence, The slope of other line is either 1,\(\frac{1}{2}\) or -1, \(-\frac{1}{2}\) .