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

$Given:\;A\;line\;which\;makes\;an\;angle\;of\;150^{\circ}\;with\;the\;x-axis\\* and\;cutting\;off\;an\;intercept\;at\;2\\*By\;using\;the\;formula,\\*The\; equation\;of\;a\;line\;is\;y=mx+c\\*We\;know\;that\;angle,\theta = 150^{\circ}\\*The\;slope\;of\;the\;line,\;m=\tan \theta \\*Where,\;m=\tan 150^{\circ}\\*\Rightarrow m=-\frac{1}{\sqrt3}\\*Coordinate\;of\;y-intercept\;is\;(0,2)\\*The\;required\;equation\;of\;the\;line\;is\;y=mx+c\\* Now\;substitute\;the\;values,\;we\;get\\*\Rightarrow y=-\frac{x}{\sqrt{3}}+2 \\*\Rightarrow \sqrt{3} y-2\sqrt{3}+x=0\\*\Rightarrow x+\sqrt{3} y= 2\sqrt3\\*\therefore\;The\; equation\;of\;line\;is\;x+\sqrt{3} y=2\sqrt{3}$

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