Write an equation in slope intercept form:  y - 3 = -8(x + 1)

To write the equation \( y - 3 = -8(x + 1) \) in slope-intercept form \( y = mx + b \), follow these steps:

1. Start by distributing the \(-8\) on the right-hand side:
   \[
   y - 3 = -8x - 8
   \]

2. Add 3 to both sides to isolate \(y\):
   \[
   y = -8x - 8 + 3
   \]

3. Simplify the right-hand side:
   \[
   y = -8x - 5
   \]

So, the equation in slope-intercept form is:
\[
y = -8x - 5
\]

This means the slope (\(m\)) is \(-8\) and the y-intercept (\(b\)) is \(-5\).

Would you like more details or have any questions?

### Related Questions:
1. How do you find the slope and y-intercept from a given equation?
2. What is the significance of the slope in this equation?
3. How do you convert standard form to slope-intercept form?
4. Can you graph this equation and explain the steps?
5. How does changing the slope affect the steepness of the line?

### Tip:
Always check that your final equation is fully simplified when converting to slope-intercept form!

Write an equation in slope intercept form: y - 3 = -8(x + 1)

Learn how to convert the equation y - 3 = -8(x + 1) into slope-intercept form (y = mx + b). This step-by-step guide explains the distribution and simplification process to get the final form y = -8x - 5, including explanations of the slope and y-intercept. Suitable for Grades 8-10.

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