For this case we must find an equation equivalent to:
[tex]y-6 = -12 (x + 4)[/tex]
We apply distributive property to the terms within parentheses taking into account that:
[tex]- * + = -[/tex]
So:
[tex]y-6 = -12x-48[/tex]
We add 6 to both sides of the equation:
[tex]y = -12x-48 + 6[/tex]
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
[tex]y = -12x-42[/tex]
Thus, an equivalent equation is:[tex]y = -12x-42[/tex]
ANswer:
[tex]y = -12x-42[/tex]
