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.
to get the slope we simply need two points off of it, hmm Check the picture below.
![\textit{\Large Website A}\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{1400})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{2150}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2150}-\stackrel{y1}{1400}}}{\underset{run} {\underset{x_2}{20}-\underset{x_1}{10}}}\implies \cfrac{750}{10}\implies 75 \\\\[-0.35em] ~\dotfill](https://img.qammunity.org/2023/formulas/mathematics/college/4io8dqrm92szft5p62551kkpzm1f3cuxur.png)
