I suspect this is really obvious, but I'm not seeing it.

For an algebraic group $G$ acting on a variety $V$, and for a point $x \in \text{hom}(\text{Spec}(K),V)$, we define the orbit $G(x)$ to be $G(x)(R)=\{gx|g \in G(R)\}$ where $x$ is viewed as $x \in \text{hom}(\text{Spec}(R),V)$ via $\text{Spec}(R) \to \text{Spec}(K)$.

Is this representable?