Axis Coordinates

Introduction to vertical and horizontal axis

          Cartesian coordinate system specify each point individually in plane by  a pair of numerical coordinates, which are signed distances from two axis-x-axis and y-axis. Two perpendicular lines represent the two dimensional plane and a point in the plane is defined by two parameters-its distance along x-axis from origin and its distance along y-axis from origin. X-axis is the horizontal axis and y-axis is the vertical axis. The point where they meet perpendicularly is the origin. x-axis and y-axis are calibrated by the same scale. Any point is represented by (x,y) coordinates which define its position on the plane.

Vertical Axis on Vertical and Horizontal Axis

Vertical axis- straight lines on the coordinate plane wherever all points on the line contain the similar x-coordinate.

graph

A vertical line is individual the go directly up and down, parallel to the y-axis of the coordinate plane.

Each and every one point on the line will have the similar x-coordinate. In the figure on top of, draw either point or note down that the line is vertical while they together contain the same x-coordinate.

Example for vertical axis

Finding the equation of the two points A, B on the line are at (-16,3) and (-16,20).

Solution

The first coordinate in both pair is the x-coordinate which are -16, and -16. Because they are identical, the line is vertical.

Given that the line passes the x-axis at -16, the equation of the line is

x = -16;

This can be read as for all values of y, x is -16.

Horizontal Axis

Horizontal way smooth or level.In graph x-axis represents the horizontal axis.

The blue number line in the figure lower is the x-axis, the horizontal axis.

Graph

Example for horizontal axis

Point B is 6 units to the left of point A on the horizontal axis. Find the coordinates of B if A is at (9, 7).
Solution:

(9, 7) = 9 on the x-axis and 7 on the y-axis.
Point B is 6 units to the left of point A on the horizontal axis, i.e. x-axis.
So, the x-coordinate of B is 9 – 6 = 3
the coordinates of point B is (3, 7).