Multiple Choice

Which equation is equivalent to y – 6 = –12(x + 4)?
(1 point)
Responses

y = –6x – 48

y = 6x – 48

y = –12x – 42

y = –12x – 54

y = –6x – 48

please explain

To solve this equation, we want to isolate the variable y.

To do this, we can start by distributing the -12 to both the x and the 4 inside the parentheses:

y - 6 = -12x - 48

Next, we can add 6 to both sides of the equation to move the -6 term to the right side:

y = -12x - 42

Thus, the equation that is equivalent to y - 6 = -12(x + 4) is y = -12x - 42.