#### Answer

$\text{a) Slope-Intercept Form: none}
\\\\\text{b) Standard Form: }
x=5$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To find the equation of the line with the given characeristics:
\begin{array}{l}\require{cancel}
\text{through }
(5,-6)
\\
\text{vertical}
,\end{array}
use $x=a.$
$\bf{\text{Solution Details:}}$
Vertical lines take the form $x=a.$ Since the line passes through $(5,-6),$ then the equation of the line is
\begin{array}{l}\require{cancel}
x=5
,\end{array}
The equation above cannot be expressed in the Slope-Intercept Form.
Hence, the equation of the line is
\begin{array}{l}\require{cancel}
\text{a) Slope-Intercept Form: none}
\\\\\text{b) Standard Form: }
x=5
.\end{array}