Question

What is the slope of the line that passes through the points shown in the table?​

Answer 1

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

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-4}{2 +1}\implies {\LARGE \begin{array}{llll} -\cfrac{4}{3} \end{array}}`