ANSWER
The slope is
[tex]5[/tex]
EXPLANATION
The equation given to us is
[tex]y - 5x = 5[/tex]
The line that is parallel to
[tex]y - 5x = 5[/tex]
has a slope that is equal to the slope of the given line.
This means that, we must determine the slope of the given line, then that is also the slope of the line parallel to it.
To do that we need to write the line in the form,
[tex]y = mx + c[/tex]
where m is the slope.
[tex]y - 5x = 5 [/tex]
We make y the subject to obtain,
[tex]y = 5x + 5[/tex]
By comparison,
[tex]m = 5[/tex]
Hence the line that is parallel to
[tex]y - 5x = 5[/tex]
has a slope of
[tex]5[/tex]
