MHB 231.12.3.63 Determine the smallest distance between point and line

[karush]

$\tiny{231.12.3.63}$
$\textsf{Determine the smallest distance between point $P(1,1,1)$}$
$\textsf{ and the line $L$ through the origin}$
$\textsf{ $L$ has the direction $\langle -4,-5,8 \rangle$}$

$\textit{ok I know the formula to use basically is}$

\begin{align*}\displaystyle
d&=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}
\end{align*}

$\textit{But did not know how to get the equation for L}$

 

[MarkFL]

Isn't this question a duplicate of the following?

http://mathhelpboards.com/calculus-10/231-12-3-65-determine-smallest-distance-between-point-line-22060.html