Question

Find the equation of the line which cuts intercept $-4$ from y-axis and makes an angle ${60}^o$ with positive direction of x-axis.

Answer 1

Standard equation of a line is given by $y=mx+c$,

where $m$ is the slope of the line and $c$ is the $y$ intercept of the line.

If the line makes an angle of ${60}^o$ with the positive direction of x-axis, then

$m=\tan {60}^o=\sqrt{3}$

$\therefore$ equation of the line is

$\Rightarrow y=\sqrt{3}x-4$