Answer
$\textbf{r} = \langle 0,4,8\rangle + t\langle10,-9,-12 \rangle$
Work Step by Step
Equation of a Line: $\textbf{r} = \textbf{r}_0 + t\textbf{v}$
$\textbf{r}_0 = \langle 0,4,8\rangle$
Given the two points, we can find $\textbf{v}$:
$\textbf{v} = \langle10-0, -5-4, -4-8\rangle = \langle 10, -9, -12\rangle$
$\textbf{r} = \langle 0,4,8\rangle + t\langle10,-9,-12 \rangle$