JEE Main 2022 · 30 Jun · Shift 1, Mathematics question 13

Let $\alpha_1,\alpha_2$ $(\alpha_1<\alpha_2)$ be the values of $\alpha$ for the points $(\alpha,-3)$, $(2,0)$ and $(1,\alpha)$ to be collinear. Then the equation of the line, passing through $(\alpha_1,\alpha_2)$ and making an angle of $\dfrac\pi3$ with the positive direction of the $x$-axis, is :