Hello,
Find the vector equation for the lines joining (3,7) , (5,4)
Thanks in advance.
the direction vector is $\displaystyle (5,4) - (3,7) = (2,-3)$
the parametric equation in vector form for this line is $\displaystyle \left(
\begin{array}
[c]{c}%
x\\
y
\end{array}
\right) = \left(
\begin{array}
[c]{c}%
3\\
7
\end{array}
\right) + \left(
\begin{array}
[c]{c}%
2\\
-3
\end{array}
\right)t$, $\displaystyle t \in \mathbb{R}$