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 reduce the given equations into normal form, we will follow the steps outlined in the video transcript. We will also find the perpendicular distances from the origin and the angles between the perpendicular and the positive x-axis for each equation.

### (i) Equation: \( x - \sqrt{3}y + 8 = 0 \)

**Step 1: Rearranging the equation**
\[ x - \sqrt{3}y = -8 \]
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