We are given the following equation:
[tex]y-6=\frac{3}{8}x[/tex]The general form of a line equation in slope-intercept form is the following:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" is the y-intercept.
To take the given equation to the slope-intercept form we need to add 6 to both sides:
[tex]\begin{gathered} y-6+6=\frac{3}{8}x+6 \\ y=\frac{3}{8}x+6 \end{gathered}[/tex]Therefore, the y-intercept is 6, and the slope is 3/8.