What is the rate of change of y=-x+2?

1 Answer
Mar 9, 2018

-1

Explanation:

Rate of change of means we have to calculate the slope of the line. This is the same as calculating the derivative of the function:

=> d/dx -x+2

=> d/dx -1x+2

=>(d/dx -1) + (d/dx 2)

The derivative of any constant is always 0:

=>d/dx -1x

=> d/dx -1x^1

The power rule states that:

d/dx x^n = nx^(n-1)

Here, we can substitute:

d/dx -1x^1

becomes:

(-1*1)x^(1-1)

=-1x^0

=-1*1

=-1

And there we have our answer.