Question

Find the equation of a line making an angle of 150° with the x-axis and cutting off an intercept 2 from y-axis.

Answer 1

Here, 

\[m = \tan {150}^\circ = - \tan {30}^\circ = - \frac{1}{\sqrt{3}}\]

and c = y-intercept = 2
Substituting the values of m and c in y = mx + c, we get,

\[y = - \frac{1}{\sqrt{3}}x + 2\]

\[ \Rightarrow x + \sqrt{3}y = 2\sqrt{3}\]

Hence, the equation of the required line is

\[x + \sqrt{3}y = 2\sqrt{3}\].