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Finding the slope of a line graphically

1,402 views · Published 13 July 2012 · 3:05 · Indexed 25 September 2026

Channel: MooMooMath and Science · 2012 · Education

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Finding the Slope graphically
 Today we are going to look at the slope of a line graphically. 
Here is an example. We have two points on a line and we count up 2 and over 3 and my answer is 2/3. 
Now let's look at the rules of finding the slope. 
The rules are you can pick any two points on that line. 
You next count the rise or how far I'm going up or down, and then I count my run which is how many places left or right, I then make a ratio of the rise over the run. 

So let's look at our example again. We will place the rise over the run and I'm going to draw a right triangle. So from point to point I'm moving up two units, bumping two units up and how many units am I running or going left to right? I'm going three units to the right. 

Now notice if I'm going up it is a positive and if I happen to go down it would be a negative.  So in the example I'm moving to the right in a positive direction which becomes positive two over positive three which is 2/3 and that is my final answer. Now let's look at an answer that might be a negative slope. 

What would happen if the two points create a line that is going down when you move left to right? That would be a negative slope. My rise would go down one so it would be negative one and my run is positive three. The slope of this line (rise over the run) would be -1 over 3 or -1/3 Hope this helps

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