1. **Problem:** Find the x and y intercepts of the line passing through points (-4, -4) and (4, 4). 2. **Formula and rules:** - The x-intercept occurs where $y=0$. - The y-intercept occurs where $x=0$. - Equation of a line through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by: $$y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1)$$ 3. **Find the slope:** $$m = \frac{4 - (-4)}{4 - (-4)} = \frac{8}{8} = 1$$ 4. **Write the equation using point-slope form with point (-4, -4):** $$y - (-4) = 1(x - (-4))$$ $$y + 4 = x + 4$$ $$y = x$$ 5. **Find the x-intercept (set $y=0$):** $$0 = x$$ $$\Rightarrow x = 0$$ 6. **Find the y-intercept (set $x=0$):** $$y = 0$$ 7. **Intercepts as ordered pairs:** - x-intercept: $(0, 0)$ - y-intercept: $(0, 0)$ The line passes through the origin, so both intercepts are at $(0,0)$.