1. **State the problem:** Find the x-intercept and y-intercept of the line given by the equation $$y = -5x - 5$$ without graphing. 2. **Recall definitions:** - The x-intercept is the point where the line crosses the x-axis, so $y=0$. - The y-intercept is the point where the line crosses the y-axis, so $x=0$. 3. **Find the x-intercept:** Set $y=0$ in the equation: $$0 = -5x - 5$$ Add 5 to both sides: $$5 = -5x$$ Divide both sides by $-5$: $$\cancel{5} \div \cancel{(-5)} = x$$ $$x = -1$$ So the x-intercept is $(-1, 0)$. 4. **Find the y-intercept:** Set $x=0$ in the equation: $$y = -5(0) - 5$$ $$y = 0 - 5$$ $$y = -5$$ So the y-intercept is $(0, -5)$. **Final answer:** - x-intercept: $(-1, 0)$ - y-intercept: $(0, -5)$