Question

Find the slope of the line.

A. 6

B. -1/6

C. -6

D. 1/6

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}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-5)}}} \implies \cfrac{-2 +3}{1 +5} \implies \cfrac{ 1 }{ 6 }`