So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run?

Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:

[tex]m=\frac{rise}{run}[/tex]

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are your 2 points.

Finally, the slope of this line is:

[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run? ​

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So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run?