  In this paper we detail a number of properties of the affine line of a
derivator, including a number of morphisms between $\mathbb{D}$ and
$\mathbb{A}^1_{\mathbb{D}}$, a monoidal structure on
$\mathbb{A}^1_{\mathbb{D}}$ if $\mathbb{D}$ is monoidal, and a universal
property of $\mathbb{A}^1_{\mathbb{D}}$ over $\mathbb{D}$ akin to the universal
property that $R[t]$ has over $R$. These results also extend naturally to
affine space $\mathbb{A}^n$ over a derivator $\mathbb{D}$.
