LINEAR EQUATIONS -- SLOPE

 

WHAT IS “STEEPNESS”?


Suppose each of these lines represent the steepness of two different sets of stairs, as illustrated below.


steepness1


If we take one step at a time, the ratio of our vertical movement to our horizontal movement would be,


steepness2



Notice that it would be the same if we took two steps at a time:
steepness3


 
The important discovery here is that the steepness4 of any line is essentially its identity.


The technical term for steepness is Slope.


steepness5


Now we just need a way of quantifying the slope.


 

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