Rise over run is another term for slope, with we can use to derive a linear equation.
The term rise over run in technical terms is the change of y over the change of x.
To find the rise over run, subtract the y terms and divide that by the x terms.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
You can use this to derive a linear equation as earlier mentioned by plugging in given points.
For example, a line passes through (3,4) with a rise over run of 3.
[tex]y=mx+b[/tex]
[tex]4=3(3)+b[/tex]
[tex]4=9+b[/tex]
[tex]b=-5[/tex]
So therefore the y intercept is -5, and the equation is [tex]y=3x-5[/tex]
