Question

Find the rate of change represented in each table or graph

Answer 1

`-(1)/(2)`

Step-by-step explanation

We want to find the rate of change of the graph given.

To do this, we apply the formula:

`m=(y_2-y_1)/(x_2-x_1)`

where (x1, y1) and (x2, y2) are two points on the line.

From the given graph, let us pick the points (-1, -3) and (3, -5).

Therefore, the rate of change of the graph is:

`\begin{gathered} m=(-5-(-3))/(3-(-1))=(-5+3)/(3+1) \\ m=(-2)/(4) \\ m=-(1)/(2) \end{gathered}`

That is the rate of the change of the graph.