Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive xaxis.(i) `x-sqrt(3)y+8=0`, (ii) `y - 2 = 0`, (iii) `x - y = 4`.

Explanation

To solve the problem of reducing the given equations into normal form, finding their perpendicular distances from the origin, and determining the angle between the perpendicular and the positive x-axis, we will follow these steps for each equation.

### Given Equations:
1. \( x - \sqrt{3}y + 8 = 0 \)
2. \( y - 2 = 0 \)
3. \( x - y = 4 \)

### Step-by-Step Solution:
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