To find the equation that describes the same line as \( y - 6 = -4(x + 1) \), we first need to simplify this equation.
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Distribute \(-4\) on the right side:
\[ y - 6 = -4x - 4 \]
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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. \( y = -4x + 2 \)