To draw the line $y = -2$, follow these steps:

1. Draw a horizontal line across the coordinate plane.
2. Place this line exactly at $y = -2$ (two units below the x-axis).
3. Note that this line will be parallel to the x-axis since the y-coordinate for all points on this line is always $-2$, regardless of the x-value.

This line represents all points $(x, -2)$, where $x$ can be any real number.