Question

Find the slope of the line

Answer 1

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

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