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To solve the equation \( y - 6 = -4(x + 1) \) and express it in slope-intercept form (i.e., \( y = mx + b \)), we need to follow these steps:

1. **Distribute** the \(-4\) on the right-hand side:
   \[
   y - 6 = -4(x + 1) = -4x - 4
   \]

2. **Add 6** to both sides to isolate \(y\):
   \[
   y = -4x - 4 + 6
   \]
   Simplifying:
   \[
   y = -4x + 2
   \]

So, the equation in slope-intercept form is \( y = -4x + 2 \).

The correct answer is **D. y = -4x + 2**.

Would you like further clarification or have any other questions?

Here are 5 related questions:
1. How do you convert a point-slope equation into slope-intercept form?
2. What is the difference between slope-intercept form and point-slope form?
3. How do you identify the slope and intercept from an equation in slope-intercept form?
4. Can any linear equation be rewritten into slope-intercept form?
5. What are some real-world applications of the point-slope form of a line?

**Tip**: When converting between different forms of linear equations, always aim to isolate \(y\) for slope-intercept form!

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

Learn how to convert the point-slope equation y - 6 = -4(x + 1) into slope-intercept form. Follow the step-by-step solution to get y = -4x + 2. This problem covers key concepts in algebra and is suitable for students in Grades 8-10.

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