1. **Problem:** Find the x- and y-intercepts of the equation $4x + y = 5$. 2. **Formula and rules:** - The x-intercept occurs where $y=0$. Substitute $y=0$ and solve for $x$. - The y-intercept occurs where $x=0$. Substitute $x=0$ and solve for $y$. 3. **Find x-intercept:** Set $y=0$ in the equation: $$4x + \cancel{0} = 5$$ $$4x = 5$$ Divide both sides by 4: $$x = \frac{5}{\cancel{4}}$$ 4. **Find y-intercept:** Set $x=0$ in the equation: $$\cancel{4} \times 0 + y = 5$$ $$y = 5$$ 5. **Answer:** - The x-intercept is at $\left(\frac{5}{4}, 0\right)$. - The y-intercept is at $(0, 5)$. This method applies to all linear equations: set one variable to zero to find the intercept of the other.