The slope of a line on a distance-time graph is

The slope of a line on a distance-time graph is- speed of the object.

The slope of a line on a graph refers to rate of change of variable that is presented on Y axis with respect to the variable that is presented on X axis.

For a distance time graph, distance is presented on Y axis and time on the X axis.

As we know that

Therefore, the slope of a line on a distance-time graph represents speed of the object.

Slope of any given curve is defined as

Rate of change in quantity on Y axis with respect to the quantity on x axis.

Here on Y axis if we plot distance and on X axis if time is plotted then

Slope = [tex] \frac{ds}{dt}[/tex}

above expression is rate of change in distance with time which shows apped of object

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explanation: