**LINEAR EQUATIONS -- SLOPE**

**WHAT IS “STEEPNESS”?**

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

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

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

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

The technical term for steepness is Slope.

Now we just need a way of quantifying the slope.