Question

graph the line $y = -6$.

Explanation:

Step1: Analyze the equation

The equation \( y = -6 \) is a horizontal line. For a horizontal line \( y = k \), the \( y \)-coordinate is always \( k \) regardless of the \( x \)-value. So, all points on this line have \( y = -6 \), and \( x \) can be any real number.

Step2: Identify the y - value on the graph

On the given coordinate plane, find the line where \( y=-6 \). Looking at the \( y \)-axis, the mark for \( y = -6 \) is visible. We draw a horizontal line (parallel to the \( x \)-axis) through the point \( (0, -6) \) (and since \( x \) can be any value, the line extends infinitely in both directions along \( y=-6 \)).

Answer:

The graph of \( y = -6 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with \( y \)-coordinate \(-6\) (e.g., \((0, -6)\), \((1, -6)\), \((-1, -6)\), etc.). Visually, on the provided grid, it is the horizontal line through the \( y = -6 \) mark on the \( y \)-axis.