Question

Find the equation of a line which cuts off intercept $5$ on the $x-$ axis and makes an angle of ${60}^o$ with the positive direction of the $x-$ axis

Answer 1

The given line passes through the point $(5,0)$ and $m=\tan {60}^o=\sqrt{3}$.

So, the required equation is $\frac{y-0}{x-5}=\sqrt{3}\iff y=\sqrt{3}(x-5)$