bearing in mind that the slope goes by different names
rate of change
average rate of change
rise over run
deltaY over deltaX
and so on, however, is the same cat disguised in different costumes.
[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{26}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{26}-\stackrel{y1}{12}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-1)}}}\implies \cfrac{14}{6+1}\implies \cfrac{14}{7}\implies 2[/tex]
