Find the x-intercept of the line 9x–3y=24. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

To find the x-intercept of the line \(9x - 3y = 24\), we set \(y = 0\) because the x-intercept occurs when the line crosses the x-axis, and at that point, \(y = 0\).

Substitute \(y = 0\) into the equation:

\[
9x - 3(0) = 24
\]
\[
9x = 24
\]

Now, solve for \(x\):

\[
x = \frac{24}{9} = \frac{8}{3}
\]

So, the x-intercept is \( \frac{8}{3} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the y-intercept of the line \(9x - 3y = 24\)?
2. How do you find the slope of the line \(9x - 3y = 24\)?
3. Can you express the equation \(9x - 3y = 24\) in slope-intercept form?
4. How would you graph the line \(9x - 3y = 24\)?
5. What are the intercepts of the line \(2x + 5y = 10\)?

**Tip:** The x-intercept is always found by setting \(y = 0\) in the equation of a line.

Learn how to find the x-intercept of the line 9x – 3y = 24 with a clear step-by-step solution. This problem focuses on key concepts of linear equations and coordinate geometry, ideal for students in Grades 7-9.

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