I am trying to understand algebraic stacks and I have a newbie question. Let $X$ be an affine variety over an algebraically closed field to keep things simple and let $G$ be a reductive group acting on $X$. Then the categorical quotient $X//G$ does not necessarily "classify" all $G$-orbits in $X$. (The simplest example being $G=GL(2,\mathbb K)$ action on $X=\mathbb K^2$ where $X//G$ is a point, while there are two orbits of $G$  in $X$.) Do algebraic stacks resolve that "shortcomming" of categorical quotients?