The general slope-intercept equation of a line is:
[tex]y=m\cdot x+b\text{.}[/tex]Comparing this equation with:
[tex]y=\frac{5}{4}\cdot x+1.[/tex]We see that the slope of the line is:
[tex]m=\frac{5}{4}\text{.}[/tex]Answer
The slope of the line is m = 5/4.