Answer:

To calculate the slope of the line passing through the points (-1, 2) and (2, -2), you can use the following formula for slope:

\[m = \frac{y_2 - y_1}{x_2 - x_1}\]

Where:

- \(m\) is the slope of the line.

- \((x_1, y_1)\) are the coordinates of the first point (-1, 2).

- \((x_2, y_2)\) are the coordinates of the second point (2, -2).

Plugging in the values:

\[m = \frac{-2 - 2}{2 - (-1)}\]

\[m = \frac{-4}{3}\]

So, the slope of the line passing through the points (-1, 2) and (2, -2) is \(-\frac{4}{3}\).