Recall that the slope-intercept form of the equation of a line is:
[tex]y=mx+b,[/tex]where m is the slope and b is the y-entry of the y-intercept.
Substituting:
[tex]\begin{gathered} m=\frac{3}{8}, \\ b=3, \end{gathered}[/tex]in the above equation, you get:
[tex]y=\frac{3}{8}x+3.[/tex]