Question

Determine the rate of change of each graph.

Answer 1

The rate of change is the slope, the "rise over run."

In this graph, you have a point at (-4,-1) and another at (-1,-2).

The rise from left-to-right is -1, because you have to drop down 1 unit in height.

The run from left-to-right is 3, because you have to go 3 units to the right.

Putting that together, you have the slope is -1/3.

Answer 2

• -1/3

Explanation:

Since the graphed is the line, its slope is the rate of change.

Take two points and find the slope.

The points:

• (-4, -1) and (2, -3)

The slope:

• m = (-3 -(-1))/ (2 - (-4)) = -2/6 = -1/3