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To find the slope of the line represented by the equation \( 5x - 2y = 20 \), we need to rewrite it in the slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope.

### Steps:
1. Start with the equation:  
   \[
   5x - 2y = 20
   \]
2. Solve for \( y \) by isolating it on one side. First, subtract \( 5x \) from both sides:  
   \[
   -2y = -5x + 20
   \]
3. Now, divide both sides by \( -2 \) to solve for \( y \):  
   \[
   y = \frac{-5x + 20}{-2}
   \]
   Simplifying this gives:  
   \[
   y = \frac{5}{2}x - 10
   \]

### Conclusion:
The equation is now in slope-intercept form \( y = \frac{5}{2}x - 10 \), and the slope \( m \) is \( \frac{5}{2} \).

Thus, the correct answer is **C**.

Would you like any more details or have further questions? Here are some related questions to deepen understanding:

1. How do you convert other forms of linear equations to slope-intercept form?
2. What is the significance of the slope in real-world contexts?
3. How can you identify the y-intercept from a linear equation?
4. What does a positive slope tell us about the graph's direction?
5. How does the slope affect the steepness of the line?

**Tip:** To find the slope from a standard form equation \( Ax + By = C \), you can use the formula \( -\frac{A}{B} \).

What is the slope of the graph of 5x - 2y = 20?

Discover how to find the slope of the linear equation 5x - 2y = 20. This problem involves converting the equation to slope-intercept form and identifying the slope. Perfect for students in Grades 8-10.

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