Question

Conclusion of co ordinate and linear equation.

Answer 1

plotting) and analyzing points, lines, and areas on the coordinate plane (coordinate graph). Each point on a number line is assigned a number. In the same way, each point in a plane is assigned a pair of numbers. These numbers represent the placement of the point relative to two intersecting lines. In coordinate graphs(see Figure 1), two perpendicular number lines are used and are called coordinate axes. One axis is horizontal and is called the x‐axis. The other is vertical and is called the y‐axis. The point of intersection of the two number lines is called the origin and is represented by the coordinates (0, 0).

Figure 1. An x‐y coordinate graph.



Each point on a plane is located by a unique ordered pair of numbers called the coordinates.Some coordinates are noted in Figure 2.

Figure 2. Graphing or plotting coordinates.



Notice that on the x‐axis numbers to the right of 0 are positive and to the left of 0 are negative. On the y‐axis, numbers above 0 are positive and below 0 are negative. Also, note that the first number in the ordered pair is called the x‐coordinate, or abscissa, and the second number is the y‐coordinate, or ordinate.The x‐coordinate shows the right or left direction, and the y‐coordinate shows the up or down direction.

The coordinate graph is divided into four quarters called quadrants. These quadrants are labeled in Figure 3.