The equation provided is in the slope-intercept form:

$y = mx + b$

Where:

• $m$ is the slope,
• $b$ is the y-intercept.

In your equation:

$y = \frac{2}{5}x + 2$

The slope $m$ is the coefficient of $x$, which is $\frac{2}{5}$.

Thus, the slope of the line is:

$\boxed{\frac{2}{5}}$

Would you like further details or have any questions? Here are 5 related questions that might expand on this:

1. What is the y-intercept of the given equation?
2. How can you find the slope of a line given two points?
3. Can the slope be negative, and what does that indicate about the line?
4. How would you graph this equation based on its slope and y-intercept?
5. What is the slope of a vertical or horizontal line?

Tip: Remember, the slope represents how steep the line is. A positive slope means the line rises from left to right, while a negative slope means it falls.