The equation you provided is:

\[
4x - 5y - 20 = 0
\]

We can rearrange this equation to express \( y \) in terms of \( x \) (slope-intercept form):

### Step 1: Move the constant term to the other side
\[
4x - 5y = 20
\]

### Step 2: Isolate \( y \)
\[
-5y = -4x + 20
\]

### Step 3: Divide by \(-5\)
\[
y = \frac{4}{5}x - 4
\]

This is the equation in slope-intercept form \( y = mx + b \), where the slope \( m = \frac{4}{5} \) and the y-intercept is \( -4 \).

Would you like more details or have any questions?

Here are five related questions:
1. What is the slope of the line?
2. What is the y-intercept in the context of this equation?
3. How would you find the x-intercept?
4. Can you plot this line on a coordinate plane?
5. How would you write the equation in standard form?

**Tip:** Always check the equation's slope and intercept before graphing to ensure accuracy.

Learn how to solve and convert the linear equation 4x - 5y - 20 = 0 to slope-intercept form. This problem involves key algebraic concepts and is suitable for students in Grades 8-10. Follow the detailed step-by-step solution to understand the process.

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