Question

graph the line y = -2.

Explanation:

Step1: Understand the equation

The equation \( y = -2 \) represents a horizontal line. For any value of \( x \), the \( y \)-coordinate is always \(-2\). So, we need to find the horizontal line that passes through \( y = -2 \) on the \( y \)-axis.

Step2: Locate \( y = -2 \) on the graph

On the given coordinate plane, find the horizontal line (parallel to the \( x \)-axis) where the \( y \)-value is \(-2\). This line will pass through all points with \( y = -2 \), such as \((0, -2)\), \((1, -2)\), \((-1, -2)\), etc.

Step3: Draw the line

Using a straightedge, draw a horizontal line through the points where \( y = -2 \) across the entire graph. This line should be parallel to the \( x \)-axis and intersect the \( y \)-axis at \((0, -2)\).

Answer:

The line \( y = -2 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with a \( y \)-coordinate of \(-2\). It intersects the \( y \)-axis at \((0, -2)\) and extends infinitely in both the positive and negative \( x \)-directions. (Visually, it is the horizontal line crossing the \( y \)-axis at \( y = -2 \) on the provided graph.)