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.
![(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fswpauncmnfrnls5b0imb8puvjbrm5eh5l.png)
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.
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
![4=3(3)+b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ayuggzp8rm0zk2n1ulo8hozfy76qua1brj.png)
![4=9+b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z1ssgufdkyjzzlxwb0mbabuh674iceau4y.png)
![b=-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hbjui6ep1oelh9wwbmim4iy4kt7sb9sdrm.png)
So therefore the y intercept is -5, and the equation is
![y=3x-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lnxy4cf4vjj6a60f4ujzyhilq59gcp47o7.png)