To solve the equation $5x - 4y - 20 = 0$, we can rewrite it in different forms or find specific solutions. Let's start by solving for $y$ in terms of $x$:

Solving for $y$:

1. Start with the given equation: $5x - 4y - 20 = 0$

2. Add 20 to both sides: $5x - 4y = 20$

3. Subtract $5x$ from both sides: $-4y = -5x + 20$

4. Divide everything by $-4$ to isolate $y$: $y = \frac{5x - 20}{4}$ Simplifying: $y = \frac{5}{4}x - 5$

So, the equation in slope-intercept form is: $y = \frac{5}{4}x - 5$

This tells us that the slope of the line is $\frac{5}{4}$, and the y-intercept is $-5$.

Would you like more details on graphing this, or do you have any other questions?

Here are 5 related questions for further exploration:

1. How do we find the x-intercept of this line?
2. Can we solve this equation using substitution with a given value of $x$ or $y$?
3. What is the slope of a line perpendicular to this one?
4. How do you graph this equation step by step?
5. What is the equation of a line parallel to this one passing through a specific point?

Tip: Always check if an equation can be simplified before solving, as it makes the process easier.