Question

Use the graph below to answer the following question:

What is the average rate of change from x = –4 to x = 1?
–3
–1
0
1

Answer 1

Answer:

Step-by-step explanation:

We'll use the slope formula as soon as we figure out the coordinates to plug into it!  At x = -4, the y value there is 4; the coordinate is (-4, 4).  At x = 1, the y value there is -1; the coordinate is (1, -1).  Plugging into the slope formula:

$m=\frac{-1-4}{1-(-4)}=\frac{-5}{5}=-1$

If you didn't pick up this, the "average rate of change" is the same exact thing as the slope.  It's -1.