Question

What is the slope of 4x - 3y = 4 ?

Answer 1

`\bf 4x-3y=4\implies -3y=-4x+4\implies y=\cfrac{-4x+4}{-3} \\\\\\ y = \cfrac{-4x}{-3}+\cfrac{4}{-3}\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-\cfrac{4}{3}\qquad \impliedby \begin{array} \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}`