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

Explanation

To find the equation of the line through the point (0, 2) making an angle of \( \frac{2\pi}{3} \) with the positive x-axis, and then to find the equation of a line parallel to it that crosses the y-axis at a distance of 2 units below the origin, we will follow these steps:

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