1. **State the problem:** Find the x- and y-intercepts of the equation $$y = 15x - 3$$. 2. **Recall the definitions:** - The **x-intercept** is where the graph crosses the x-axis, so $$y=0$$. - The **y-intercept** is where the graph crosses the y-axis, so $$x=0$$. 3. **Find the x-intercept:** Set $$y=0$$ in the equation: $$0 = 15x - 3$$ Add 3 to both sides: $$3 = 15x$$ Divide both sides by 15: $$x = \frac{3}{15}$$ Simplify the fraction: $$x = \frac{\cancel{3}^1}{\cancel{15}^5} = \frac{1}{5}$$ 4. **Find the y-intercept:** Set $$x=0$$ in the equation: $$y = 15(0) - 3 = 0 - 3 = -3$$ 5. **Final answers:** - The x-intercept is $$\frac{1}{5}$$. - The y-intercept is $$-3$$.