Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
The graph shows the straight line passing trough the points (0,-2) and (-4,-1).
To find the rate of change you can simply find the slope of this line in the form
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Hence, the rate of change is
[tex]\dfrac{-1-(-2)}{-4-0}=\dfrac{-1+2}{-4}=-\dfrac{1}{4}[/tex]
