Answer
let $t$ represent a parameter. The line will go through $a$ parallel to $t*b$.
$\mathbf{x}=\begin{bmatrix}x_{1}\\x_{2}\end{bmatrix}=\begin{bmatrix}3\\-4\end{bmatrix}+t\begin{bmatrix}-7\\8\end{bmatrix}$
Work Step by Step
$\mathbf{a}=\begin{bmatrix}3\\-4\end{bmatrix}$ $\mathbf{b}=\begin{bmatrix}-7\\8\end{bmatrix}$
let $t$ represent a parameter. The line will go through $a$ parallel to $t*b$.
$\mathbf{x}=\begin{bmatrix}x_{1}\\x_{2}\end{bmatrix}=\begin{bmatrix}3\\-4\end{bmatrix}+t\begin{bmatrix}-7\\8\end{bmatrix}$