the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
from the table, we can simply get the values when x = -2 and x = 3, so we get hmmmm the coordinates or values of (-2 , 25) and (3 , 0)
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{25})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{25}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}}\implies \cfrac{-25}{3+2}\implies \cfrac{-25}{5}\implies -5[/tex]
