Question

graph the line $x = 6$.

Explanation:

Step1: Understand the equation \( x = 6 \)

The equation \( x = 6 \) represents a vertical line. In the coordinate plane, for any point on this line, the \( x \)-coordinate is always 6, and the \( y \)-coordinate can be any real number.

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

Find the position on the x - axis where \( x = 6 \). On the given grid, we look for the vertical line that passes through the point with \( x \)-coordinate 6.

Step3: Draw the vertical line

Draw a straight vertical line passing through the point \( (6,y) \) for all values of \( y \). This line will be parallel to the y - axis and will intersect the x - axis at \( (6,0) \) and will extend infinitely in the positive and negative y - directions.

(Note: Since this is a graphing task, the key is to identify the vertical line at \( x = 6 \). If we were to mark points, we could take points like \( (6,0) \), \( (6,2) \), \( (6, - 2) \) etc. and draw a line through them.)

Answer:

To graph \( x = 6 \), draw a vertical line passing through the point where \( x = 6 \) on the x - axis (intersecting the x - axis at \( (6,0) \)) and extending parallel to the y - axis (upwards and downwards) through all points with \( x \)-coordinate 6.