Answer:
slope = - 2
Step-by-step explanation:
the derivative of f(x) at x = - 1 gives the slope
f(x) = [tex]\frac{2}{x+2}[/tex] = 2[tex](x+2)^{-1}[/tex]
differentiate using the chain rule
f'(x) = -2[tex](x+2)^{-2}[/tex] = - [tex]\frac{2}{(x+2)^2}[/tex]
f'(- 1) = [tex]\frac{-2}{1}[/tex] = - 2
