Given the slope \(\frac{-2}{5}\) and the Y-intercept \(3\), you can write the equation of the line in slope-intercept form, which is:

\[ y = mx + b \]

Where:
- \(m\) is the slope
- \(b\) is the Y-intercept

Substituting the given values:

\[ y = \frac{-2}{5}x + 3 \]

This is the equation of the line with slope \(\frac{-2}{5}\) and Y-intercept \(3\).

Would you like to see a graph of this line or have any other details? 

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Here are some related questions you might find interesting:

1. How do you find the slope of a line given two points?
2. What does the slope of a line represent in real-world scenarios?
3. How do you convert the slope-intercept form to the standard form of a line?
4. How do you determine if two lines are parallel or perpendicular?
5. What is the significance of the Y-intercept in the context of a problem?
6. How do you find the X-intercept of a line?
7. How do you determine the equation of a line given its graph?
8. Can you explain how to find the slope of a vertical or horizontal line?

**Tip:** Remember, the slope indicates the steepness of a line, and a negative slope means the line is decreasing as you move from left to right.

Learn how to find the equation of a line with slope -2/5 and Y-intercept 3 using the slope-intercept form. This problem covers key concepts in linear equations, including slope and Y-intercept. Suitable for Grades 7-9 students.

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