Let's begin by listing out the information given to us:
[tex]\begin{gathered} y=5x-3 \\ m=5 \\ \end{gathered}[/tex]The slope of a line parallel to this line is equal
[tex]\begin{gathered} m(parallel)=m \\ m=5 \\ m(parallel)=5 \end{gathered}[/tex]We proceed to use the point-slope equation to get the equation of the line:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(0,4) \\ y-4=5(x-0) \\ y-4=5x+0 \\ y=5x+4 \end{gathered}[/tex]