1. **State the problem:** Find all x-intercepts of the function $$f(x) = \frac{x + 8}{5x + 8}$$ and write them as coordinate points. 2. **Recall the formula for x-intercepts:** The x-intercepts occur where the function value is zero, i.e., where $$f(x) = 0$$. 3. **Set the numerator equal to zero:** Since $$f(x) = \frac{\text{numerator}}{\text{denominator}}$$, the function is zero when the numerator is zero (and denominator is not zero). $$x + 8 = 0$$ 4. **Solve for x:** $$x = -8$$ 5. **Check denominator at x = -8:** $$5(-8) + 8 = -40 + 8 = -32 \neq 0$$ So the function is defined at $$x = -8$$. 6. **Write the x-intercept as a coordinate point:** $$(-8, 0)$$ **Final answer:** The function has one x-intercept at $$(-8, 0)$$.