For this case we must find an equation equivalent to:
![y-6 = -12 (x + 4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/knysukbh6bv7jixaad7zfsqumobu3pzfq7.png)
We apply distributive property to the terms within parentheses taking into account that:
![- * + = -](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vig8fj3x5ot0voredp1ybmd0ik1b8z7b2p.png)
So:
![y-6 = -12x-48](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nvl3ejeqivnm8yvry0qchg7hj9ymp43nt6.png)
We add 6 to both sides of the equation:
![y = -12x-48 + 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kre1xsf6yo5d9ygvqg987666k4kjoavqt1.png)
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
![y = -12x-42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qemnj628ium31o8qlbsee8rwss1xxcp4g3.png)
Thus, an equivalent equation is:
![y = -12x-42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qemnj628ium31o8qlbsee8rwss1xxcp4g3.png)
ANswer:
![y = -12x-42](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qemnj628ium31o8qlbsee8rwss1xxcp4g3.png)