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 )?
two coordinate plane graphs: left is horizontal line, right is vertical line at ( x = 4 )

Explanation:

Step1: Analyze the nature of the line \(x = 4\)

In a coordinate system, for a vertical line of the form \(x = a\) (where \(a\) is a constant), all points on the line have the same \(x\) - coordinate. Here \(a = 4\), so all points on the line \(x=4\) have an \(x\) - coordinate of \(4\).

Step2: Identify the graph of \(x = 4\)

A horizontal line has the form \(y = b\) (where \(b\) is a constant), and a vertical line has the form \(x=a\). The left - hand graph is a horizontal line (since for all \(x\) values, \(y\) is constant). The right - hand graph is a vertical line. Since \(x = 4\) is a vertical line, we look for the vertical line passing through \(x = 4\) on the \(x\) - axis.

Answer:

The line \(x = 4\) is the vertical line (the right - hand graph in the given pair of graphs).