Question

Find the slope of the line graphed below.

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}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-1)}}} \implies \cfrac{3}{4 +1} \implies \cfrac{ 3 }{ 5 }`