Answer: -18
Explanation:
Average rate of change is slope: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Need to find the y-coordinates:
g(x) = -x² - 4x
g(6) = -(6)² - 4(6)
= -36 - 24
= -60
⇒ (6, -60)
g(8) = -(8)² - 4(8)
= -64 - 32
= -96
⇒ (8, -96)
m = [tex]\frac{-96 - (-60)}{8 - 6}[/tex]
= [tex]\frac{-36}{2}[/tex]
= -18
