To find the slope of the line passing through the points $(-3, 5)$ and $(2, 6)$, you can use the slope formula:

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

Where:

• $(x_1, y_1) = (-3, 5)$
• $(x_2, y_2) = (2, 6)$

Substitute the values into the formula:

$m = \frac{6 - 5}{2 - (-3)} = \frac{1}{2 + 3} = \frac{1}{5}$

So, the slope $m = \frac{1}{5}$.

Would you like more details or have any questions about this solution?

Here are 5 related questions for further practice:

1. What is the slope of a line through the points $(1, 2)$ and $(4, 6)$?
2. If the slope of a line is $2$, and it passes through the point $(3, 4)$, what is the equation of the line?
3. How do you determine if two lines are parallel?
4. What is the slope of a horizontal line?
5. How do you find the slope given a graph of a line?

Tip: The slope represents the "steepness" of a line: a positive slope rises, a negative slope falls.