Rewrite the following equation in slope-intercept form.

9*x* − 9*y* = 1

To rewrite the equation \( 9x - 9y = 1 \) in slope-intercept form, follow these steps:

1. Start with the original equation:
   \[
   9x - 9y = 1
   \]

2. Isolate the \( y \)-term on one side of the equation:
   \[
   -9y = -9x + 1
   \]

3. Divide the entire equation by \(-9\) to solve for \( y \):
   \[
   y = x - \frac{1}{9}
   \]

So, the equation in slope-intercept form is:
\[
y = x - \frac{1}{9}
\]

Would you like more details or have any questions about this process?

Here are five related questions:
1. What is the slope of the line \( y = x - \frac{1}{9} \)?
2. How do you find the y-intercept from the equation \( y = x - \frac{1}{9} \)?
3. How would you graph the equation \( y = x - \frac{1}{9} \)?
4. Can you convert the slope-intercept form back to standard form?
5. What is the significance of the slope and y-intercept in the context of a real-world problem?

**Tip:** The slope-intercept form, \( y = mx + b \), is useful for quickly identifying the slope and y-intercept of a linear equation.

Learn how to rewrite the equation 9x - 9y = 1 in slope-intercept form step-by-step with detailed explanations. This problem involves algebraic concepts such as linear equations and the slope-intercept form. Suitable for students in Grades 7-9.

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