Check the picture below.
bearing in mind that the slope goes by different names
average rate of change
rise over run
rate of change
but is basically the same cat in disguise with different costumes.
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}\implies \cfrac{4+2}{3}\implies \cfrac{6}{3}\implies 2[/tex]
