Answer :
The line equation in general form is written as,
y = mx + b .........(1)
Here, m is the slope and b is the y-intercept.
The given equation of line,
[tex]y=\frac{5}{2}x+\frac{7}{5}[/tex]is of the form of the general equation (1).
So equating the coefficients, we can see that,
[tex]\text{slope, m = }\frac{5}{2}[/tex]