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?

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.