Question

Find the equation of a line having the angle of inclination ${60}^{\circ }$ and $y-$ intercept $3$

Answer 1

Slope$=m=\tan {60}^{\circ }=\sqrt{3}$

$y-$ intercept$=3$

Equation is $y=mx+c$

$y=\sqrt{3}x+3$

or $\sqrt{3}x-y+3=0$

$\sqrt{3}x-y+3=0$ is the required equation of the line.