The equation \(y = -2\ in\ \mathbb{R^{3}}\) represenrs the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.

\(RR^{3}\) is the three dimensional coordinate system which contains x, y and z - coordinates.

The equation \(y = -2\ in\ \mathbb{R^{3}}\)

represents the set \({(x, y, z)|y = -2}\),

which is the set of all points in \(\mathbb{R^{3}}\) whose y - coordinate is -2 and x, z - coordinates are any values.

The equation \(y = -2\ in\ \mathbb{R^{3}}\) is sketched as shown in Figure 1

From Figure 1, the equation \(y = -2\ in\ \mathbb{R^{3}}\) represents the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.

Thus, the equation \(y = -2\ in\ \mathbb{R^{3}}\) is described.