graph the line $y = -6$.

graph the line $y = -6$.

graph the line $y = -6$.

Answer

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.)