Question

(-3,6), (0,3), (-1,2), and (2,-1) all lie on a line. Find the Slope of the Line. Make Sure You Do Number 11 On The Paper!

Answer 1

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

`(\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{-1 +3} \implies \cfrac{ -4 }{ 2 } \implies - 2`