Question

average rate of change (slope) from a graph, table, equation
multiple-choice question
what is the rate of change for this table?
$\frac{1}{2}$
-1
1
positive

x	y
-2	-2
-1	0
0	2

negative

x	y
-1	3
0	2
1	1

Explanation:

Step1: Recall rate of change formula

The average rate of change between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select points from the table

Use the first two points $(-1, 3)$ and $(0, 2)$ from the "NEGATIVE" table.

Step3: Calculate the rate of change

$\frac{2 - 3}{0 - (-1)} = \frac{-1}{1} = -1$

Answer:

-1