# Average rate of change (slope) from a table

## Pre-Calculus

Hey, it's mister Estrada here and our learning target says I can determine the average rate of change between two points when given a table. So our first example says, given the function defined in the table below, find the average rate of change in simplest form of the function over the interval for the 6. So what we will be doing for this topic is simply using the slope formula. So the average rate of change over an interval is simply using the slope formula to find that average rate of change. In order for us to use our slow formula we need an X one Y one and a X two Y two. So the interval that they give us gives us the X one and the X two. So this is going to be X one and 6 is X two. And the 36 will be our Y one, because that's the corresponding Y value to the X one. And the Y two will be 18. So there are our numbers. We will plug them into our formula, and we get 18 takeaway 36. Over 6 takeaway four. So we got 18 takeaway 36. That's negative 18. We got 6 takeaway four. That's two. Negative 18 divided by two is negative 9. So the average rate of change is negative 9. That's our final answer, the average rate of change in that interval is negative 9. I hope this video helps take care