Answer
$\textbf{r} = \langle -1,-8,4\rangle + t\langle-8,13,-7 \rangle$
Work Step by Step
Equation of a Line: $\textbf{r} = \textbf{r}_0 + t\textbf{v}$
Given points $(-1,-8,4)$ and $(-9,5,-3)$
Use one of the points as $\textbf{r}_0$
$\textbf{r}_0 = \langle -1,-8,4\rangle$
Given the two points, we can find $\textbf{v}$:
$\textbf{v} = \langle-9+1, 5+8, -3-4\rangle = \langle -8,13,-7\rangle$
$\textbf{r} = \langle -1,-8,4\rangle + t\langle-8,13,-7 \rangle$
