What are the uses of Slope in real life?

Answer 1

One area that comes to mind immediately is that of driving.

Knowing the slope of a hill allows the correct gear to be selected for ascending or descending a hill - the latter extremely important for long steep hills going down where lots of use of the brakes could lead to brake fade and so engine braking, through the use of a low gear, would help; with an automatic transmission, a "hold gear" option to prevent it going up the gears as the vehicle accelerated (due to gravity) would allow the engine braking to be implemented.

Answer 2

One interesting application is the slope of a road - the larger a slope, the harder it is to go up the road, for example with a car - and the more dangerous it is to go down.One application which you may or may not encounter (depending what you work in - but typically useful for engineers) is that the maximum or minimum of a function usually occurs at places where the slope is equal to zero. This fact is used, precisely, to find where a function has a maximum or minimum value.

Answer 3

It is a measure of the rate of change. So, for example, velocity is the rate of change of position.