The slope is given by the formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Where (x1,y1) and (x2,y2) are the coordinates of two points on the line.
We have (7,1) and (7,-5). Let's replace these values and find m:
[tex]m=\frac{-5-1}{7-7}=\frac{-6}{0}=\text{ undefined}[/tex]The slope is undefined, which means it is a vertical line at x=7.