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We are given the equation \( 8y = 72 \) and asked to find the x- and y-intercepts, if possible.

### Step 1: Solve for the y-intercept
The y-intercept occurs when \( x = 0 \). However, this equation only involves \( y \), which suggests that the line is vertical or horizontal.

1. Solve for \( y \):
   \[
   8y = 72 \implies y = \frac{72}{8} = 9
   \]
   Therefore, the y-intercept is \( (0, 9) \).

### Step 2: Check for the x-intercept
The x-intercept occurs when \( y = 0 \). In this case:
\[
8y = 72 \implies 0 = 72
\]
This results in a contradiction, which means that no x-intercept exists for this equation. The line is horizontal and does not cross the x-axis.

### Final Answer:
- x-intercept: Absent
- y-intercept: \( (0, 9) \)

Would you like any further details or clarifications?

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Here are 5 related questions you might find interesting:
1. What is the general form of a horizontal line equation?
2. How do you determine the slope of a line given an equation?
3. What is the graphical representation of \( 8y = 72 \)?
4. Can a line ever have both x- and y-intercepts?
5. What is the significance of a missing intercept in linear equations?

**Tip:** In horizontal lines like this, the slope is always zero, meaning the line stays constant for all x-values.

Find the x- and y-intercepts of the equation 8y = 72.

Learn how to find the x- and y-intercepts of the linear equation 8y = 72. This problem focuses on algebraic concepts like intercepts and solving for variables in linear equations. Suitable for students in Grades 6-8.

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