Question

Question
Which of the following options is the equation of a line parallel to the x-axis?

Option #1: y=3x


Option #2: y=3


Option #3: x=3y


Option #4: x=3


(1 point)
The equation of a line parallel to the x-axis is Option

Answer 1

The equation of a line parallel to the x-axis is given by a constant value of y. This means that for all values of x, y remains the same.

From the options provided,

- Option #1: \( y = 3x \) is a line with a slope and is not parallel to the x-axis.
- Option #2: \( y = 3 \) is a horizontal line where y is constantly 3, which is parallel to the x-axis.
- Option #3: \( x = 3y \) represents a function where x changes with y; it is not parallel to the x-axis.
- Option #4: \( x = 3 \) is a vertical line, not parallel to the x-axis.

Therefore, the correct answer is **Option #2: \( y = 3 \)**.