Answer:
Average speed is the magnitude of the slope of the distance time graph.
Step-by-step explanation:
Average speed of an object is the rate at which its position is changing with time.
So, in a graph of distance versus time, the average speed between any time interval is equal to the change in the distance over the time interval.
Suppose, the time interval is from
. The distance traveled by the object is
and
. The average speed is given as:

This is nothing but the slope of the graph between two points on it.
Thus, average speed is the magnitude of the slope of the distance time graph.