Question

what do you know about points on the line ( x = 4 )?
the points on the line all have an ( x )-coordinate of 4.
which line is the graph of ( x = 4 )?

Explanation:

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

In a coordinate system \((x,y)\), for the equation \(x = 4\), no matter what value \(y\) takes ( \(y\in R\) ), the \(x -\)coordinate of any point \((x,y)\) on this line is always \(4\).

Step2: Analyze the nature of the line \(x = 4\)

The general form of a vertical line in a two - dimensional coordinate system is \(x = a\) (where \(a\) is a constant). A horizontal line has the form \(y = b\) (where \(b\) is a constant). Since \(x = 4\) is of the form \(x=a\) (\(a = 4\)), it is a vertical line.

Answer:

The points on the line \(x = 4\) all have an \(x -\)coordinate of \(4\). The graph of \(x = 4\) is the vertical line (the left - hand graph among the two given graphs).