First, let's use the slope-point form to get an equation for the line
[tex]\begin{gathered} y-1=6(x-3) \\ \rightarrow y-1=6x-18 \end{gathered}[/tex]Then, we clear y to get to the slope-intercept form
[tex]\begin{gathered} y-1=6x-18 \\ \rightarrow y=6x-17 \end{gathered}[/tex]The equation for the line in slope-intercept form is:
[tex]y=6x-17[/tex]