[tex]\bf kx+10=6y\implies \cfrac{kx+10}{6}=y\implies \cfrac{kx}{6}+\cfrac{10}{6}=y \\\\\\ \cfrac{k}{6}x+\cfrac{5}{3}=y\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\\\\ m\implies \cfrac{k}{6}=-3\implies k=-18[/tex]