To find the slope of a line that passes through two points $(x_1, y_1)$ and $(x_2, y_2)$, you can use the slope formula:

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

Given the points $(1, -1)$ and $(-2, 2)$, let's substitute the coordinates into the formula:

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

Thus, the slope of the line is $-1$.

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Here are 5 related questions:

1. What is the equation of the line through these two points?
2. How do you determine if two lines are parallel based on their slopes?
3. How do you find the y-intercept of the line passing through these points?
4. Can you use this slope to write the equation in point-slope form?
5. How can the distance between two points be calculated?

Tip: The slope of a line describes how steep it is and indicates the direction (positive slope rises, negative slope falls).