The formula for the average rate of change is given as:
![\frac{\Delta y}{\Delta x}=\frac{f(x_2)-f(x_1)}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D%5Cfrac%7Bf%28x_2%29-f%28x_1%29%7D%7Bx_2-x_1%7D)
From the interval provided, take
![\begin{gathered} x_1=-9 \\ x_2=-8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%3D-9%20%5C%5C%20x_2%3D-8%20%5Cend%7Bgathered%7D)
Comparing on the graph,
![\begin{gathered} f(x_1)=-80 \\ f(x_2)=-20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x_1%29%3D-80%20%5C%5C%20f%28x_2%29%3D-20%20%5Cend%7Bgathered%7D)
Inputting the values into the equation for average rate of change,
![\begin{gathered} \frac{\Delta y}{\Delta x}=\frac{-20-(-80)}{-8-(-9)}=\frac{-20+80}{-8+9}=\frac{60}{1} \\ \frac{\Delta y}{\Delta x}=60 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D%5Cfrac%7B-20-%28-80%29%7D%7B-8-%28-9%29%7D%3D%5Cfrac%7B-20%2B80%7D%7B-8%2B9%7D%3D%5Cfrac%7B60%7D%7B1%7D%20%5C%5C%20%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D60%20%5Cend%7Bgathered%7D)
Therefore, the average rate of change for the interval -9 ≤ x ≤ -8 is 60.
Answer:
y = -2x - 12
Step-by-step explanation:
Answer:
188
Step-by-step explanation:
3(8^2)-4
3(64)-4
192-4
188
Answer: Write an equation of the line that passes through the point (1,2) and has the slope, m = 2. I'm very bad at Math so please answer this question! I need all the help I can get. Thank you so much!
Step-by-step explanation: