The y-intercept of any equation is where the function crosses the y-axis.
It is the point where x=0
So determine the y-interceot of the given line you have to calculate the value of y when x equals zero:
[tex]\begin{gathered} y=3x+8 \\ y=3\cdot0+8 \\ y=8 \end{gathered}[/tex]The coordinates of the y-intercept are (0,8)