what is the slope of the line that goes through (0,0) (5,1)

Let
[tex]A(0,0)\\B(5,1)[/tex]
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
Substitute the values in the formula
[tex]m=\frac{(1-0)}{(5-0)}[/tex]
[tex]m=\frac{1}{5}[/tex]
therefore
the answer is the option b
the slope is equal to [tex]\frac{1}{5}[/tex]