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.