Answer
$\textbf{r} = \langle 0,0,1\rangle + t \langle 4,7,0\rangle$
Work Step by Step
Equation of a Line: $\textbf{r} = \textbf{r}_0 + t\textbf{v}$
$\textbf{r}_0 = \langle 0,0,1\rangle$
$\textbf{v} = \langle 4,7,0\rangle$
$\textbf{r} = \langle 0,0,1\rangle + t \langle 4,7,0\rangle$