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