1. **State the problem:** We need to find the intercepts of the line given by the equation $x - 6y = 24$ to help graph it. 2. **Recall the intercepts:** - The $x$-intercept is where the line crosses the $x$-axis, so $y=0$. - The $y$-intercept is where the line crosses the $y$-axis, so $x=0$. 3. **Find the $x$-intercept:** Set $y=0$ in the equation: $$x - 6(0) = 24$$ $$x = 24$$ So the $x$-intercept is at $(24, 0)$. 4. **Find the $y$-intercept:** Set $x=0$ in the equation: $$0 - 6y = 24$$ $$-6y = 24$$ Divide both sides by $-6$: $$\cancel{-6}y = \frac{24}{\cancel{-6}}$$ $$y = -4$$ So the $y$-intercept is at $(0, -4)$. 5. **Summary:** The line crosses the $x$-axis at $(24, 0)$ and the $y$-axis at $(0, -4)$. Plotting these points and drawing a line through them will graph the equation. **Final answer:** $x$-intercept: $(24, 0)$, $y$-intercept: $(0, -4)$.