If the angle between two lines is `(pi)/(4)` and the slopw of one of the line is 3, then find the slope of the othre line.

Explanation

To find the slope of the other line given that the angle between two lines is \(\frac{\pi}{4}\) and the slope of one line is \(m_1 = 3\), we can use the formula for the tangent of the angle between two lines:

\[ \tan(\theta) = \left| \frac{m_2 - m_1}{1 + m_1 m_2} \right| \]

### Step 1: Substitute the known values into the formula.
Given that \(\theta = \frac{\pi}{4}\), we know that \(\tan\left(\frac{\pi}{4}\right) = 1\). Thus, we can write:
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