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

Let `m_1` and m be the slopes of two given line such that` m_1=2 m.`

We know that if theta is the angle between the lines `l_1` and` l_2` with slopes `m_1` and `m_2`,

then `tan theta=|frac[m_2-m_1][1+m_1 *m_2]|`

It is given that the tangent of the angle between the two lines is` frac[1]3`


therefore `frac[1]3=|frac[m-2 *m][1+(2 *m) m]|`



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