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 costumes.
[tex]\bf f(x) = 0.5(-10x+24)\implies f(x) = \stackrel{\stackrel{m}{\downarrow }}{-5} x+12\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]
