On a position-time graph, the slope at any particular point is the velocity at that point. This is because velocity is the rate of change of position, or change in position over time. Here, the average velocity …

Average rate of change is basically the slope formula with two points from the function. If you have two points and calculate the slope, it doesn't matter which point you designate as (x1,y1) vs (x2,y2).

Learn how to calculate the **rate of change** (also called the **slope**) of a linear function three ways — in a table, on a graph, and as an equation.

So if you want to find your average rate of change, you want to figure out how much does the value of your function change, and divide that by how much your x has changed.

Average rate of change is the same as the slope between 2 points. Find the ordered pairs for the start point (x1,y1) and end point (x2,y2) of the interval. Then, use the slope formula to calculate the …

Learn how to calculate the average rate of change of a function over a specific interval. Discover how changes in the function's value relate to changes in x. Use tables and visuals to understand the …

In this section, we will study the rate of change of a quantity and how is it related geometrically to secant and tangent lines.

Finding the average rate of change of a function over the interval -5<x<-2, given a table of values of the function. Created by Sal Khan.

Let's see. 54 divided by 2 is 27. So it's 27.4. So we can use that as our approximation for the instantaneous rate of change for the slope of the tangent line. And now we have to actually figure out …

Discover how to find the average rate of change in polynomials. Learn to identify intervals with positive average rates of change by comparing function values at different points. See how this concept …