Question

graph the line x=7.

Explanation:

Step1: Understand the equation \( x = 7 \)

The equation \( x = 7 \) represents a vertical line. For any point on this line, the \( x \)-coordinate is always 7, and the \( y \)-coordinate can be any real number.

Step2: Locate \( x = 7 \) on the x - axis

On the given coordinate plane, find the position where \( x = 7 \) on the x - axis. This is 7 units to the right of the origin (since the x - axis is labeled with positive values to the right).

Step3: Draw the vertical line

Draw a vertical line passing through the point \( (7,y) \) for all values of \( y \). This line will be parallel to the y - axis and will intersect the x - axis at \( (7,0) \) and will extend infinitely in the positive and negative y - directions.

(Note: Since the task is to graph the line, the final answer is the graphical representation as described. If we were to describe the key point, the line passes through \( (7,0) \), \( (7,1) \), \( (7, - 1) \), etc., and is a vertical line at \( x = 7 \).)

Answer:

The line \( x = 7 \) is a vertical line passing through the point \( (7,0) \) (and all other points with \( x = 7 \)) on the coordinate plane, parallel to the \( y \) - axis.