Answer
$y =\frac{\sqrt 3}{3} x$
Work Step by Step
1. Definition of tangent
$\tan\theta=\frac{y}{x}$
2. Special angle value
$\tan 30^{\circ}=\frac{\sqrt 3}{3}$
3. Using two points we can find the equation of a line
$p_1(0,0)$ and $p_2(3,\sqrt 3)$
4. Fins a slope of the line as shown below
$slope = \frac{\sqrt 3 - 0}{3-0} = \frac{\sqrt 3}{3}$
5. Find y-intercept
since it goes through the origin, $y_{intercept}= 0$
6. Write the equation in form $y=mx+b$
$y =\frac{\sqrt 3}{3} x$
