graph the following equation in a rectangular coordinate system.\n\n x = -6\n\nuse the graphing tool to…

Explanation:

Step1: Analyze the equation ( x = -6 )

The equation ( x = -6 ) represents a vertical line in the rectangular coordinate system. A vertical line has an undefined slope and consists of all points where the ( x )-coordinate is ( -6 ), regardless of the ( y )-coordinate. So, for any value of ( y ) (such as ( y = 0 ), ( y = 5 ), ( y = -3 ), etc.), the ( x )-coordinate will be ( -6 ).

Step2: Identify the position on the graph

On the given coordinate grid, we locate the vertical line where ( x = -6 ). This is a vertical line passing through the point ( (-6, y) ) for all real numbers ( y ). To graph it, we can plot two points with ( x = -6 ), for example, ( (-6, 0) ) and ( (-6, 5) ), and then draw a straight line through these points (and extending infinitely in both vertical directions).

(Note: Since this is a graphing task, the final visual graph would be a vertical line at ( x = -6 ) on the provided coordinate system. The key is recognizing the nature of the vertical line equation and its position on the ( x )-axis.)

Answer:

The graph of ( x = -6 ) is a vertical line passing through ( x = -6 ) for all values of ( y ), plotted on the given rectangular coordinate system.