1. **Problem:** Find the x-intercept and y-intercept of the equation $2x + y = 8$. 2. **Formula and rules:** - To find the x-intercept, set $y = 0$ and solve for $x$. - To find the y-intercept, set $x = 0$ and solve for $y$. 3. **Find x-intercept:** Set $y = 0$ in $2x + y = 8$: $$2x + 0 = 8$$ $$2x = 8$$ $$x = \frac{8}{2} = 4$$ So, the x-intercept is at $(4, 0)$. 4. **Find y-intercept:** Set $x = 0$ in $2x + y = 8$: $$2(0) + y = 8$$ $$y = 8$$ So, the y-intercept is at $(0, 8)$. **Final answer:** - x-intercept: $(4, 0)$ - y-intercept: $(0, 8)$