bearing in mind that the slope goes by several names
average rate of change
rate of change
rise over run
deltaY over deltaX
however, is the same cat disguised with a different costume.
[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{2}x-3\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}[/tex]
