Question

fill in the blank so that the resulting statement is true. the graph of the equation x = 14 is a/an ____ line. the graph of the equation y = 14 is a/an ____ line.

Explanation:

Step1: Recall line - type rules

In the coordinate - plane, the equation \(x = a\) (where \(a\) is a constant) represents a vertical line. The equation \(y = b\) (where \(b\) is a constant) represents a horizontal line.

Step2: Analyze \(x = 14\)

For the equation \(x = 14\), all points on this line have an \(x\) - coordinate of 14, regardless of the \(y\) - coordinate. So, it is a vertical line.

Step3: Analyze \(y = 14\)

For the equation \(y = 14\), all points on this line have a \(y\) - coordinate of 14, regardless of the \(x\) - coordinate. So, it is a horizontal line.

Answer:

The graph of the equation \(x = 14\) is a vertical line.
The graph of the equation \(y = 14\) is a horizontal line.