Why does the slope of a PT Graph equal the VT graph?

[am2010]

Can someone please explain this to me (please see title)? I understand how to compute it but why is this so?

Thanks

 

[timewalker]

You mean momentum-time graph and velocity-time graph?

 

[arkofnoah]

or is it the pressure-temperature and volume-temperature graph for ideal gases?

 

[am2010]

I mean Position-Time and Velocity-Time.

 

[thrill3rnit3]

What does slope mean?

Slope = $$\frac{\Delta Y}{\Delta X}$$

What is your Y-axis? position (meters)
What is your X-axis? time (seconds)

Therefore,

Slope = position/time = meters/seconds = velocity

Velocity is the change of rate of change of position per unit time.