What is a slope in a graph ? I have studied Distance - Time Significance from the study Material many a times but not able to get that .....Please help me , how to find that speed oh its s o confusing...Please somebody help me...

For 9th standard, slope of a graph is the measure of the actual slope of the line drawn, similar to slope of a hill or a road. So, a line drawn at 30 degree to the x-axis will have a less slope than a line drawn at 60 degrees.

To find the slope, I will take an example of the graph shown above.

The slope of this graph, as can be seen is same everywhere, right? Yes.

Now, the slope will be defined as change in quantity on the Y axis/change in quantity on the X-axis.

So, let us take the slope from 0sec to 1 sec.

The change in velocity (Y axis) is 10-0=10 m/s

and the change in x axis (time) is 1-0 = 1s

so the slope (change in quantity on the Y axis/change in quantity on the X-axis) is:

(10m/s)/(1s)=10 m/s²

You try yourself for 3 sec to 5 sec. The slope will come out to be the same.

Similarly, we can find out the slope for any kind of graph, say distance time graph, or any other graph you may see.

I hope that helps!! Do get back to us in case of any kind of doubt!!