We have the next information
slope = 3/5
passes in the origin in (0,0)
The equation of the line in slope - intercept form is
[tex]y=mx+b[/tex]where m is the slope and b is the y-intercept
The y-intercept is the value of the coordinate y, when the coordinate x is 0 in, this case because the line passes through the origin the y-intercept is 0
The equation of the line is
[tex]\begin{gathered} y=\frac{3}{5}x+0 \\ y=\frac{3}{5}x \end{gathered}[/tex]