Question

Find an equation of line whose y-axis intercept is $-4$ and it makes an angle ${60}^o$ with x-axis.

Answer 1

Slope intercept form of line : $y=mx+c$

$m=\tan \left(\theta \right)=\tan {60}^o=\sqrt{3}$

$y$ intercept $c=-4$

$\Rightarrow$ equation of line is $y=\sqrt{3}x-4$

Hence, the equation of line is $\sqrt{3}x-y-4=0$.