Question

graph the line $y = -6$.

Explanation:

Step1: Understand the equation

The equation \( y = -6 \) is a horizontal line. For any value of \( x \), the \( y \)-coordinate is always -6. This means all points on the line have the form \( (x, -6) \), where \( x \) can be any real number.

Step2: Locate the y - value on the grid

On the given coordinate grid, find the point where \( y = -6 \) on the \( y \)-axis. Then, draw a horizontal line (parallel to the \( x \)-axis) through this point. This line will pass through all points with \( y = -6 \), regardless of the \( x \)-value. For example, some points on the line are \( (0, -6) \), \( (2, -6) \), \( (-3, -6) \), etc. By connecting these points (or recognizing the horizontal nature of the line), we can graph \( y=-6 \).

(Note: Since the question is about graphing, the key is to identify the horizontal line at \( y = -6 \) and draw it on the grid. The following is a description of the graph: A horizontal line passing through the point where \( y=-6 \) on the \( y \)-axis, extending infinitely in both directions along the horizontal (x - axis) direction, parallel to the x - axis.)

Answer:

To graph \( y = -6 \), draw a horizontal line (parallel to the \( x \)-axis) that passes through the point \( (0, -6) \) (and all other points with \( y = -6 \)) on the coordinate grid. This line will be horizontal, at a \( y \)-value of -6, extending across the entire grid from left to right.