Find the equation of the line passing through (0,2) making an angle `(2pi)/3` with the positive X-axis. Also find the equation of the line parallel to it and crossing the Y-axis at a distance of two units below the origin.

Explanation

To find the equation of the line passing through the point (0, 2) and making an angle of \( \frac{2\pi}{3} \) with the positive X-axis, we can follow these steps:

### Step 1: Calculate the slope of the line
The slope \( m \) of a line making an angle \( \theta \) with the positive X-axis is given by:
\[ m = \tan(\theta) \]
Here, \( \theta = \frac{2\pi}{3} \).
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