bearing in mind that the slope goes by several names
average rate of change
rate of change
deltaY over deltaX
rise over run
gradient
constant of proportionality
however, is the same cat wearing different hats.
[tex]\bf y = \stackrel{\stackrel{m}{\downarrow }}{5}x+\stackrel{\stackrel{b}{\downarrow }}{7}\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}~\hfill \begin{cases} \stackrel{gradient}{slope}=&5\\ y-intercept=&(0,7) \end{cases}[/tex]
