The slope of the given line is:
[tex]\frac{4}{5}[/tex]
We know that if a line is represented in the slope intercept form i.e.
[tex]y=mx+c[/tex]
then m represents the slope of the line and c represents the y-intercept of the line.
Here we are given a equation of a line as follows:
[tex]y=\frac{4}{5}x-3[/tex]
i.e. on comparing the equation with the slope-intercept form of the line we have the slope of the line is:
[tex]m=\frac{4}{5}[/tex]