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.