Question

These points are linear. Find the slope. X -4 -1 2 5 8 y 0 4 8 12 16 [?] slope =

Answer 1

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}} \implies \cfrac{8}{5 +1} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }`