Question

Intersecting the y-axis at a distance of 2 units above the origin and making an angle of ${30}^{\circ }$ with positive direction of the x-axis.

Answer 1

Here $m=tan{30}^{\circ }=\frac{1}{\sqrt{3}}$ and c = 2

Putting these values in y mx + c, we have

$y=\frac{1}{\sqrt{3}}x+2\Rightarrow x-\sqrt{3}y+2\sqrt{3}=0$