Question

The equation for a line is 4x -3y=24. What is the slope of the line?

Answer 1

Your answer is M= 4/3

Answer 2

$\bf 4x-3y=24\implies 4x-24=3y\implies \cfrac{4x-24}{3}=y \\\\\\ \cfrac{4x}{3}-\cfrac{24}{3}=y\implies \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-8=y~\hspace{5em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$