1. **State the problem:** We are given the linear equation $5x - 4y = 5$ and asked to express $y$ in terms of $x$, then identify the correct graph based on the slope and y-intercept. 2. **Rewrite the equation to solve for $y$:** Start with the equation: $$5x - 4y = 5$$ Subtract $5x$ from both sides: $$-4y = -5x + 5$$ 3. **Divide both sides by $-4$ to isolate $y$:** $$y = \frac{-5x + 5}{-4}$$ Use the cancellation notation: $$y = \frac{\cancel{-5}x + \cancel{5}}{\cancel{-4}} = \frac{5}{4}x - \frac{5}{4}$$ 4. **Interpret the slope and y-intercept:** The slope is $\frac{5}{4}$ (positive), and the y-intercept is $-\frac{5}{4} = -1.25$. 5. **Choose the correct graph:** The graph should have a positive slope and intersect the y-axis near $-1.25$. **Answer:** Graph B or Graph C (both describe a line with positive slope and y-intercept near -1.25). Since both B and C have the same description, either is correct based on the given options.