SOLUTION: In a line graph, how does the slope of a line segment relate to the rate of change?

Algebra.Com
Question 431232: In a line graph, how does the slope of a line segment relate to the rate of change?
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
The instantaneous rate of change (usually denoted dy/dx) is found by taking the slope of the line determined by two different points (change in y over change in x), then evaluating the limit when these two points becomes extremely close. This is often how the derivative of a function is defined.
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