Consider the line parametrized by $\begin{align*} x&= 2t + 1,\\ y& = -3t +2. \end{align*}$
Find a vector $\begin{pmatrix}a\\b\end{pmatrix}$ that's parallel to this line and satisfies $a+b = 3$.
The vector is [-6/5, 1/5].
+11 
