Question

What is the slope of the graph shown below?A) 2B) 1/2 C) 1 D) -2

Answer 1

Step-by-step explanation:

To find the slope in the graph, you have to choose any two points to apply the slope formula,in this way we know exactly which is the slope of the graph.

Therefore we will first choose the two points, then we apply the slope formula.

POINTS:

1 points 2.points

(x1,y1)= (-1,1) (x1,y1)=(3,-2)

(x2,y2)=(0,-1) (x2,y2)=(-1,1)

Now we must replace the points in the slope formula:

`\begin{gathered} m=\frac{y2-y1_{}_{}}{x2-x1} \\ m=(-1-1)/(0-(-1)) \\ m=(-2)/(1) \\ m=-2 \\ 2\text{ points} \\ m=(y2-y1)/(x2-x1) \\ m=(3-1)/(-2-(-1)) \\ m=(2)/(-1) \\ m=-2 \\ \text{the answer is :the slope is -2} \end{gathered}`

other points are the following:

(x1,y1)=(1,-3)

(x2,y2)=(3,-7)

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ m=(-7-(-3))/(3-1) \\ m=(-4)/(2) \\ m=-2; \\ the\text{ slope is confirmed }to\text{ be: }-2 \\ So\text{ the answer is D}=-2 \end{gathered}`