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QUESTION IMAGE

graph ( x = -6 )

Question

graph ( x = -6 )

Explanation:

Step1: Understand the equation type

The equation \( x = -6 \) is a vertical line equation. For a vertical line \( x = a \), all points on the line have an \( x \)-coordinate of \( a \) and \( y \)-coordinate can be any real number.

Step2: Locate \( x = -6 \) on the x - axis

On the given coordinate grid, find the point where \( x=-6 \) on the horizontal (x - axis). This is at the position 6 units to the left of the origin (since \( x=-6 \) is negative).

Step3: Draw the vertical line

Draw a straight vertical line passing through the point \( x = -6 \) on the x - axis. This line will be parallel to the y - axis and will include all points with \( x=-6 \) and any \( y \)-value (e.g., \( (-6,0) \), \( (-6,1) \), \( (-6, - 1) \), etc.).

(Note: Since this is a graphing task, the final answer is the graph of the vertical line \( x = -6 \) as described above. If we were to represent the key point, one of the points on the line is \( (-6,0) \), but the main result is the graph of the vertical line at \( x=-6 \).)

Answer:

The graph of \( x = -6 \) is a vertical line passing through the point \( (-6, y) \) for all real numbers \( y \), specifically passing through \( (-6,0) \) on the coordinate grid and parallel to the \( y \)-axis.