# Write an equation for the line ?

## A straight line from the origin passes through the point P(x,y) in the first quadrant and is inclined at θ = (pi)/(3) from the positive x-axis. Write an equation for the line.

Mar 31, 2018

$y = \frac{1}{\sqrt{3}} x$

#### Explanation:

Given:

$\theta = \frac{\pi}{3}$

Slope is

$m = \tan \theta$

$\tan \theta = \tan \left(\frac{\pi}{3}\right)$

$\tan \left(\frac{\pi}{3}\right) = \frac{1}{\sqrt{3}}$

$m = \frac{1}{\sqrt{3}}$

Equation of the straight line passing through the origin and having slope m is given by

$y = m x$

$y = \frac{1}{\sqrt{3}} x$