To find the slope ($m$) of the line passing through the two points $(-2, 3)$ and $(3, 5)$, we use the formula for slope:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the coordinates of the points: $m = \frac{5 - 3}{3 - (-2)}$

Simplify: $m = \frac{2}{5}$

So, the slope ($m$) of the line is:

$m = \frac{2}{5}$

If you have additional questions or need further details, let me know!

Here are 5 related questions you may find useful:

1. How do you find the slope of a horizontal line?
2. What does a slope of $\frac{2}{5}$ indicate about the steepness of the line?
3. How do you find the equation of a line given its slope and one point?
4. What is the slope of a vertical line?
5. How would the slope change if one of the points were moved?

Tip: The slope is a ratio that compares the vertical change ("rise") to the horizontal change ("run") between two points on a line!