Why is X 0 the equation of the y-axis?

Any point on the x-axis is represented as (x, 0) and any point on the y-axis is represented as (x, 0). So according to the question, y = 0 means for all the values of x, y coordinate is 0. This implies, the line y=0 represents the x-axis. Hence, the correct answer is option (A).

Why is the equation of x-axis?

Answer: The equation of x-axis is y = 0. The horizontal axis in a coordinate plane is represented by the x-axis. Explanation: The points on the x-axis are of the form (a, 0), where a is any real number. So, the y-coordinate of the point of the x-axis is 0.

Is x 0 is the equation of x-axis?

The equation x =0 represents – axis.

What is the equation for the x-axis?

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

What is the equation of Y 0?

Your equation y = 0 is a linear equation since the variable has no exponent. Remember, the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Why is the equation equal to zero?

It’s simply a way of putting an equation into a standard form. You can always add and subtract the same quantities from both sides so that one of the sides becomes zero without changing the solution(s) of the equation. By equating the polynomial equation to zero and factoring the polynomial, we can find its roots.

Is X 0 a point at x-axis?

Complete step-by-step answer: then these linear equations will be parallel to the x axis. But when x=0, the linear equation will lie on the x-axis. From this we can conclude that the coordinate (0,0) or the origin lies on the x-axis.

Is X 0 the y-axis?

Take a closer look, and you’ll see that the y-axis is also the line “x = 0”. In the same way, the x-axis is also the line “y = 0”. an x-intercept is a point on the graph where y is zero, and. a y-intercept is a point on the graph where x is zero.

Which line is represented by the equation x 0?

The equation x = 0 represents a line that has a y-coordinate but no x-coordinate. In other words, x = 0 represents the equation of y-axis.

What type of equation is X 0?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.

What is the difference between the x-axis and the Y-axis?

The x-axis is usually the horizontal axis, while the y-axis is the vertical axis. They are represented by two number lines that intersect perpendicularly at the origin, located at (0, 0), as shown in the figure below.

Is the horizontal line y = 0 the same as x-axis?

Yes, in a rectangular coordinate system, the horizontal line y = 0 is the same as the x-axis, which is also horizontal, i.e,, slope m = 0, since for every point (x, y) on both lines, (x, y) = (x, 0), where the first coordinate x can be any real number, including zero (0), and the second coordinate y, as shown, is always zero (0).

Which equation represents the x -axis of the line?

>> Equation of the line y = 0 Hence it represent the x -axis. Was this answer helpful?

What is the graph of xy = x + y + c?

1) the graph of the equation xy = x + y + c is a hyperbola asymptotic to y = 1 and x = 1; 2) If c > 0, the graph of xy = x + y + c crosses the y-axis at (-c); 3) If c < 0, the graph of xy = x + y + c crosses both the x-axis and y-axis at c.