Question

PLEASE HELP

What is the slope of this graph

-1/4

1/4

-4

4

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}{-3}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-3)}}} \implies \cfrac{ -16 }{1 +3} \implies \cfrac{ -16 }{ 4 } \implies -4`

Answer 2

Answer: The slope of the graph is -4.

Step-by-step explanation:

In order to find the slope of the graph, choose a point at which the line you are given intersects with a line of the graph (representing a whole number, which will make this easier). If you were to choose the point (-1,1), you could then work your way up the given line until you meet another point that intersects with the grid, for example: (-2,5). From here, you could use the graph to count up along the y-axis (rise) from one point to the next, giving you a distance of 4, and left along the x-axis (run), giving you a distance of 1. Using the rule of y/x or rise/run, you would be given 4/1 = 4, which would effectively become -4 since your slope is decreasing.

In order to put that method into the format of a formula, you could plug your two points into the following equation: (y2 - y1)/ (x2 - x1).

It would look like this:
(5 - 1)/ (-2 - (-1)) = 4/-1 = -4