1. **Problem Statement:** Find the x- and y-intercepts of the graph of the equation $$9x + y = 25$$. 2. **Formula and Rules:** - The x-intercept occurs where $$y = 0$$. - The y-intercept occurs where $$x = 0$$. 3. **Find the x-intercept:** - Set $$y = 0$$ in the equation: $$9x + 0 = 25$$ - Simplify: $$9x = 25$$ - Solve for $$x$$: $$x = \frac{25}{9}$$ 4. **Find the y-intercept:** - Set $$x = 0$$ in the equation: $$9(0) + y = 25$$ - Simplify: $$y = 25$$ 5. **Final answers:** - The x-intercept is $$\left(\frac{25}{9}, 0\right)$$. - The y-intercept is $$(0, 25)$$. These intercepts tell us where the line crosses the x-axis and y-axis respectively.