The problem asks for the slope of the line that passes through the points $(-2, -1)$ and $(1, 2)$.

The slope of a line through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

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

For the points $(-2, -1)$ and $(1, 2)$:

• $(x_1, y_1) = (-2, -1)$
• $(x_2, y_2) = (1, 2)$

Substituting these into the formula:

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

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

If you'd like more details or explanations on the slope or graphing concepts, feel free to ask!

Relative Questions:

1. How would the slope formula change if the points were flipped?
2. What does a slope of 1 indicate about the steepness and direction of the line?
3. How does the slope of 1 compare to a slope of 0 or an undefined slope?
4. Can you find the equation of the line in slope-intercept form?
5. How would you graph the line based on these two points?

Tip: Remember that a positive slope indicates the line rises from left to right.