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

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Answer 1 · 2018-03-09T02:26:14

#-1#

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.