Respuesta :
Answer:
The rate of change between the points (–3, 0) and (–2, –5) is:
-5
Step-by-step explanation:
The rate of change between the points (-5, 10) and (-4, 5) is -5.
Now we are asked to find the average rate of change between (-3,0) and (-2,-5)
We know that the average rate of change between two points (a,b) and (c,d) is calculated by the formula:
[tex]Rate\ of\ change=\dfrac{d-b}{c-a}[/tex]
Here we have:
(a,b)=(-3,0) and (c,d)=(-2,-5)
Hence, the average rate of change is:
[tex]Rate\ of\ change=\dfrac{-5-0}{-2-(-3)}\\\\\\Rate\ of\ change=\dfrac{-5}{-2+3}\\\\\\Rate\ of\ change=-5[/tex]
Also, we know that for any linear function the average rate of change is same between any two points.
Hence, the answer is:
-5
