Question

What is the slope of this line?

Answer 1

$\bf 6x-2y+22 = 0\implies 6x-2y=-22\implies -2y=-6x-22 \\\\\\ y=\cfrac{-6x-22}{-2}\implies y = \cfrac{-6x}{-2}-\cfrac{22}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{3}x+11\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$