Question

is the graph of this equation a horizontal or vertical line?
x = 10
horizontal line vertical line

Explanation:

Step1: Recall line equation types

For a line in the coordinate plane, the equation \( x = a \) (where \( a \) is a constant) represents a vertical line. This is because for all points on this line, the \( x \)-coordinate is always \( a \), and the \( y \)-coordinate can be any real number.

Step2: Analyze the given equation

The given equation is \( x = 10 \). Comparing it with the form \( x = a \) (here \( a = 10 \)), we can see that it follows the pattern of a vertical line equation. In contrast, a horizontal line has the equation \( y = b \) (where \( b \) is a constant), where the \( y \)-coordinate is fixed and the \( x \)-coordinate varies.

Answer:

vertical line