Question

graph the line x = 6.

Explanation:

Step1: Understand the nature of the line

The equation \(x = 6\) represents a vertical line. In a two - dimensional coordinate system \((x,y)\), for all points on this line, the \(x\) - coordinate is always 6, and the \(y\) - coordinate can take any real value.

Step2: Plot points

We can choose some arbitrary \(y\) - values. For example, when \(y = 0\), the point is \((6,0)\); when \(y = 2\), the point is \((6,2)\); when \(y=- 2\), the point is \((6, - 2)\).

Step3: Draw the line

Connect these points with a straight line. This line is parallel to the \(y\) - axis and passes through the point \((6,0)\) on the \(x\) - axis.

Answer:

Draw a vertical line passing through the point \((6,0)\) on the \(x\) - axis.