Question

graph the line $y = -6$.

Explanation:

Step1: Understand the equation type

The equation \( y = -6 \) is a horizontal line. For any value of \( x \), the \( y \)-coordinate is always \(-6\). So we need to find the horizontal line that passes through \( y = -6 \) on the \( y \)-axis.

Step2: Locate \( y = -6 \) on the graph

On the given coordinate plane, find the horizontal line (parallel to the \( x \)-axis) that intersects the \( y \)-axis at \( y=-6 \). This line will have all points with \( y \)-coordinate \(-6\), regardless of the \( x \)-coordinate. So we draw a horizontal line through the point \((0, -6)\) (and all other points where \( y = -6 \), like \((1, -6)\), \((-1, -6)\), etc.).

Answer:

The graph of \( y = -6 \) is a horizontal line passing through the point \((0, -6)\) (and all points with \( y \)-coordinate \(-6\)) on the coordinate plane, parallel to the \( x \)-axis. (Visually, it's the horizontal line at the \( y \)-value of \(-6\) on the given grid.)