Question

Find the equation of a straight line having angle of inclination ${60}^{\circ }$ and $y$-intercept $2$.

Answer 1

Given that: Angle of inclination $={60}^{\circ }$, $y$-intercept $=2$

Solution:

Equation of straight line in slope-intercept form is $y=mx+c$

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

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

So, equation of the required line is $y=\sqrt{3}x+2.$