The equation \( y = -\frac{3}{5}x + 2 \) represents a linear function in the slope-intercept form, \( y = mx + b \), where:

- \( m = -\frac{3}{5} \) is the slope of the line.
- \( b = 2 \) is the y-intercept, the point where the line crosses the y-axis.

### Key Points:
1. **Slope**: The slope \( -\frac{3}{5} \) means the line decreases by 3 units vertically for every 5 units it moves horizontally. This indicates a downward trend.
2. **Y-Intercept**: The y-intercept at \( (0, 2) \) shows that when \( x = 0 \), \( y = 2 \).
3. **Graphing**: To graph this line, start at the y-intercept (0, 2) and use the slope to find other points, moving down 3 units and right 5 units.
4. **X-Intercept**: Set \( y = 0 \) to find the x-intercept: 
   \[
   0 = -\frac{3}{5}x + 2 \implies x = \frac{10}{3}.
   \]
   This intercept is at \( \left(\frac{10}{3}, 0\right) \).
5. **Line Direction**: The negative slope means the line moves from the top left to the bottom right.

Would you like more details or have any specific questions? 

### Related Questions:
1. How do you find the x- and y-intercepts of a linear function?
2. What does the slope represent in real-world problems?
3. How does changing the slope affect the graph of a line?
4. How would the graph look if the slope were positive?
5. What is the significance of the y-intercept in applications?

**Tip**: To graph a line quickly, use the y-intercept as the starting point and follow the slope to find additional points!

Explore the linear equation y = -3/5x + 2 in detail with this comprehensive guide. Learn about its slope, y-intercept, graphing techniques, and practical applications. Suitable for Grades 7-9.

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