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

Explanation

To solve the problem step by step, we will denote the slopes of the two lines as \( m_1 \) and \( m_2 \). According to the problem, we know that:

1. The slope of one line \( m_1 \) is double that of the other line \( m_2 \):
\[ m_1 = 2m_2 \]

2. The tangent of the angle \( \theta \) between the two lines is given as:
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