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).
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.
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