Step 1
Given;
[tex]y=5x-4[/tex]Required; To find the slope
Step 2
The equation of a line is given as;
[tex]\begin{gathered} y=mx+c \\ m=slope \\ c=y-intercept \end{gathered}[/tex][tex]\begin{gathered} differentiating\text{ the given equation gives} \\ \frac{dy}{dx}=5 \\ comparing\text{ both equations give m=5} \end{gathered}[/tex]Hence the slope of the line is;
[tex]5[/tex]