Question

the equation x = 5 would form a -------- line. options: 1 diagonal, 2 vertical, 3 horizontal

Explanation:

Step1: Recall line equation types

In coordinate geometry, the equation \( x = a \) (where \( a \) is a constant) represents a vertical line. This is because for any value of \( y \), the \( x \)-coordinate remains \( a \), so the line is parallel to the \( y \)-axis (vertical).

Step2: Analyze \( x = 5 \)

For the equation \( x = 5 \), all points on this line have an \( x \)-coordinate of 5, regardless of the \( y \)-value. This matches the definition of a vertical line.

Answer:

VERTICAL (the option labeled "VERTICAL" with the number 2)