Question

What is the slope OF THE GRAPH, not what is A slope, what is THE slope

Answer 1

You can find the slope either by just looking at the line or using the slope formula.

#1: The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$       Find two points and plug it into the formula

I will use (0, 2) and (1, -1)

(0, 2) = (x₁, y₁)

(1, -1) = (x₂, y₂)

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{2-(-1)}{0-1}$   [two negatives cancel each other out and become positive]

$m=\frac{2+1}{-1} =\frac{3}{-1}$

m = -3

#2: To find the slope without having to do the work, you use this:

$m=\frac{rise}{run}$

Rise is the number of units you go up(+) or down(-) from each point

Run is the number of units you go to the right from each point

If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.

Answer 2

Answer:the slope of this graph is $-\frac{3}{1}$

Step-by-step explanation:

You can find the slope by choosing any two ordered pairs in this case I choose (2,-4) and (-1,1). The you find the run and rise. Slope=$\frac{rise}{run}$, the run was 3 up and the run was 1. And it is negative because it is going down to the right.