What is the slope of the function? f(x)= -2x-9 if x<-3    

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You should know that you may find the slope of the line converting the equation of the function to the slope intercept form such that:

`y = mx + n`

m represents the slope of the line `y = mx + n`

Reasoning by analogy, you need to convert the equation of the function `f(x) = -2x - 9`  to the form mentioned above such that:

`y = -2x - 9`

Notice that the slope is given by the leading coefficient such that:

`m = -2`

Hence, evaluating the slope of the given function yields `m=-` 2.

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