Answer:
The rate of change of the equation is 6.
Explanation:
Given : Equation
![2y-12x=36](https://img.qammunity.org/2020/formulas/mathematics/middle-school/73q9x7rmnxhdz5tegx3u7oo5o4cncf0kmg.png)
To find : The rate of change ?
Solution :
In the equation
the rate of change is the slope of the equation i.e. m.
Write the equation in general form.
![2y-12x=36](https://img.qammunity.org/2020/formulas/mathematics/middle-school/73q9x7rmnxhdz5tegx3u7oo5o4cncf0kmg.png)
![2y=12x+36](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cmfz782b3pn6jjprcygm9z4zwwq7cz5pfe.png)
![y=(12x+36)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rvp4hmn51hxf3m41s87dmn5c5qes6gzsio.png)
![y=6x+18](https://img.qammunity.org/2020/formulas/mathematics/middle-school/68ryz4342qaufscnjs2f8jfsoqpwrd4ey8.png)
The value of m is 6.
The rate of change of the equation is 6.