Question

What is the slope of the line on this graph?



Enter your answer in the box.

Answer 1

The slope is 2

Explanation:

To find the slope you divide the rise by the run. Rise being how many units it goes up or down) (run being how many units it goes to the side).

In this case the rise is -2 and the run is -1.

See in the picture, for every 2 units the line goes down, it moves one unit to the right.

so, -2/-1= 2

Answer 2

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