Represent and intersect spatial lines and planes
Use the stated Cartesian coordinates and exact values. Parameters range over all real numbers unless restricted
Write the line through A and B as r=a+td, choosing t=0 at A and t=1 at B. Complete the labelled coordinates of a and d. This parameter convention fixes the representation
\[A=\begin{pmatrix}-3\\0\end{pmatrix},\qquad B=\begin{pmatrix}-6\\-3\end{pmatrix}\]