11 HL: Vector Equations of Lines in 2D

Do your best to complete the questions listed below before our next class (we’ll continue working on these in class on Monday).

1. Find a vector equation of the line with Cartesian equation \(y = \frac{3}{4}x -2\).
2. Find another correct reponse to question 1 that uses different values for both \(\vec{a}\) and \(\vec{b}\).
3. Find the Cartesian equation of the line \(\vec{r}=\begin{bmatrix}4\\-1\end{bmatrix}+\lambda \begin{bmatrix}1\\2\end{bmatrix}\).
4. Find a vector equation of the line passing through \(A(1,3)\) and \(B(2,-1)\).