Which equation is equivalent to y – 6 = –12(x + 4)? shortly explain your answer.

Question

Responses

y = –6x – 48

y = 6x – 48

y = –12x – 42

y = –12x – 54

Answer 1

The correct equation that is equivalent to y – 6 = –12(x + 4) is y = –12x – 42.

To explain why this is the correct equation, we can start by distributing the -12 to both the x and the 4 inside the parentheses:

y - 6 = -12(x + 4)
y - 6 = -12x - 48

Then, we can isolate y by adding 6 to both sides:

y = -12x - 48 + 6
y = -12x - 42

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