The given equation is \( y + 1 = \frac{3}{4}x - 6 \).

To write it in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, follow these steps:

1. Subtract 1 from both sides to isolate \( y \):
   \[
   y = \frac{3}{4}x - 6 - 1
   \]
2. Simplify the right side:
   \[
   y = \frac{3}{4}x - 7
   \]

So, the equation in slope-intercept form is:
\[
y = \frac{3}{4}x - 7
\]

Would you like more details on any part of this process? 

Here are some related questions to consider:
1. How do you find the slope from an equation?
2. What is the significance of the y-intercept in a linear equation?
3. How do you convert from slope-intercept form to standard form?
4. Can you graph the equation \( y = \frac{3}{4}x - 7 \)?
5. What does the slope \( \frac{3}{4} \) tell you about the line?

**Tip:** When converting to slope-intercept form, always ensure \( y \) is isolated on one side of the equation.

Learn how to convert the equation y + 1 = (3/4)x - 6 to slope-intercept form (y = mx + b) step-by-step. This problem covers linear equations and slope interpretation, suitable for Grades 7-9.

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