The equation on the x - axis is of the form

Correct option is B

Explanation:

The x-axis is a horizontal line in the Cartesian coordinate plane, where the y-coordinate is always 0.

Therefore, any point on the x-axis has the form (x, 0) , where the value of y is zero, and the value of x can vary.

Thus, the equation representing the x-axis is y = 0 .

Checking the options:

1. Option A: X = 0 : This represents the y-axis, not the x-axis.

2. Option B: Y = 0 : This is the equation of the x-axis, as all points on the x-axis have y = 0 .

3. Option C: X + Y = 0 : This represents a line with a slope of -1, not the x-axis.

4. Option D: X = Y : This represents a line with a slope of 1, not the x-axis.

Final Answer:

Option B) Y = 0