Question

graph the line $x = 4$.

Explanation:

Step1: Understand the equation \( x = 4 \)

The equation \( x = 4 \) represents a vertical line. In a coordinate plane, for any point on this line, the \( x \)-coordinate is always 4, while the \( y \)-coordinate can be any real number.

Step2: Locate \( x = 4 \) on the x - axis

On the given coordinate grid, find the position where \( x = 4 \) (i.e., 4 units to the right of the origin along the x - axis).

Step3: Draw the vertical line

Draw a straight vertical line passing through the point \( (4,y) \) for all values of \( y \). This line will be parallel to the y - axis and pass through \( x = 4 \) on the x - axis.

Answer:

To graph \( x = 4 \), draw a vertical line passing through the point where \( x = 4 \) on the x - axis (i.e., the point \( (4,0) \), and extending infinitely in the positive and negative \( y \)-directions). This line is parallel to the \( y \)-axis.