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Introduction to average rate of change (video) | Khan Academy 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 is given as the total change in position over the time taken (in a given interval)
Worked example: average rate of change from graph Then, use the slope formula to calculate the average rate of change: m = (y2-y1) (x2-x1) Remember, a negative rate of change like -4 used in the video tells you the points must create a line that slants down overall If the slope was positiive, then the graph would move upward Hope this helps