A line written in slope-intercept form is given by
[tex]y=mx+b[/tex]Where m represents the slope and b the y-intercept.
Rewritting our equation, we have
[tex]\begin{gathered} -6x+3y=5 \\ 3y=6x+5 \\ y=\frac{6}{3}x+\frac{5}{3} \\ y=2x+\frac{5}{3} \end{gathered}[/tex]Comparing to the slope-intercept form, we know that the slope of this line is the coefficient of x, in this case, 2.
[tex]m=2[/tex]