Which equation describes the same line as y - 6 = -4(x+ 1)?

Question

• A y=-4x+2

• B. y=-4х- 4

• C. y=-4х+ 3

D. y=-4x+7

Answer 1

To find the equation that describes the same line as \( y - 6 = -4(x + 1) \), we first need to simplify this equation.

1. Distribute \(-4\) on the right side:

   \[ y - 6 = -4x - 4 \]

2. Next, add \(6\) to both sides to solve for \(y\):

   \[ y = -4x - 4 + 6 \]

   \[ y = -4x + 2 \]

Now we can compare this result with the options given:

• A. \( y = -4x + 2 \)
• B. \( y = -4x - 4 \)
• C. \( y = -4x + 3 \)
• D. \( y = -4x + 7 \)

From our simplification, we see that the correct answer is:

A. \( y = -4x + 2 \)