Write a equivalent equation for y-6=-12(x+4)

For this case we must find an equation equivalent to:

We apply distributive property to the terms within parentheses taking into account that:

So:

We add 6 to both sides of the equation:

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

Thus, an equivalent equation is:

the first one, all those points on the line just make a strait line.