LINEAR EQUATIONS -- SLOPE

 

HOW ARE TWO LINES DIFFERENT?


To understanding what a linear equation is, let’s start by looking at two lines.  We can examine the differences between the two

lines, and figure out how to quantify (or measure) the difference.

Here are two lines.   We labeled them so that we can more easily refer to  them as line 1 (L1) and line 2 (L2).


Different Lines


One thing we can see is that line, L1, is steeper than line, L2.  Other than their steepness and positions, it seems that there is nothing

else that’s different about them.  Let’s agree that if two lines have the same steepness, then they are the “same” line even if they are

placed at different positions. This means that there really is only one thing that distinguishes between two lines, their steepness. 

 

(next page)

 

Home
College of Marin