Answer:
![\huge\boxed{y=6x+9}](https://img.qammunity.org/2021/formulas/mathematics/high-school/9cm7xmseafl5e1vk45vgvinm08nadfjvk4.png)
Explanation:
In order to put this equation into slope-intercept form, we want to get this into the form
, where m is the slope (coefficient) and b is the y-intercept.
We already have the equation
. Looking at this equation, we can see that we have to get 6x off the left side of the equation and on to the right.
To do this, we can add 6x to both sides. However, if we add 6x to one side we must add it to the other.
So, let’s add 6x to both sides.
![y -6x + 6x = 9 + 6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/v3y3b9es6671i6dm3l3s4kdtpxxgnnoxni.png)
![y = 9 + 6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/d51xq1fwvdjse60cevrz7f77nuc68p9j8r.png)
We can now rearrange the terms.
![y = 6x+9](https://img.qammunity.org/2021/formulas/mathematics/high-school/ddxkbwj7wzuf2wnbx3ue8vq3hjel7zjtbr.png)
Hope this helped!