Questions: Move the points on the graph to match the points below to find the slope of the line that passes through the given points. Round your answer to 3 decimal places. (-2,-1) and (1,-2) Slope:

Solution Steps

The given points are $(-2, -1)$ and $(1, -2)$. We plot these points on the graph. The blue point represents $(-2, -1)$ and the red point represents $(1, -2)$.

The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$

In our case, $(x_1, y_1) = (-2, -1)$ and $(x_2, y_2) = (1, -2)$. Substituting the values into the formula, we get: $$m = \frac{-2 - (-1)}{1 - (-2)}$$ $$m = \frac{-2 + 1}{1 + 2}$$ $$m = \frac{-1}{3}$$ $$m = -0.33333...$$

Rounding the slope to 3 decimal places, we get: $$m \approx -0.333$$

Final Answer The final answer is $\boxed{-0.333}$