Answer
$3x-2y=4$
Work Step by Step
The result of exercise 32 tells us that ${\bf v}=\langle a,\ b \rangle$ is parallel to the lines $bx-ay=c$.
Here, ${\bf v}=\langle 2,\ 3 \rangle$ and the lines are $3x-2y=c.$
Since $P(0,-2)$ is on the line, its coordinates satisfy the line equation
$\left\{\begin{array}{l}
3(0)-2(-2)=c\\
c=4
\end{array}\right.$
So the line equation is: $\quad 3x-2y=4$
To graph the line, use the given point and $(2,1)$.
