Question

What is the rate of change for the linear function f(x)=-2x-5 over any interval?

Answer 1

To solve this problem you must apply the proccedure shown below:

1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.

2. You have the equation of the line has the following form:

$y=mx+b$

Where $m$is the slope and $b$ is the y-intercept.

3. Then, you have that the slope of the function $f(x)=-2x-5$ is:

$m=-2$

Therefore, the answer is: $-2$