Question

Are the lines y=0 and x=0 parallel?

Answer 1

No, these equations are not parallel.

Explanation:

The equation
`y=0` is a vertical line. This equation, in fact, is the y-axis.

The equation
`x=0` is a horizontal line. This equation, in fact, is the x-axis.

These lines are perpendicular, not parallel.

Answer 2

The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0. Therefore, the equation of y-axis is x = 0.