# Coordinate Plane

How to draw points on a coordinate plane: definition, examples and their solutions.

## Definition

A coordinate plane is formed by two number lines:*x*-axis: the horizontal number line*y*-axis: the vertical number line.

The intersection of these two axes

(where *x* = 0 and *y* = 0)

is the [origin].

The location of a point on the coordinate plane

can be expressed by its *x* value and *y* value: (*x*, *y*).

## Quadrants

By the *x*-axis and the *y*-axis,

the coordinate plane is divided into 4 parts:

Quadrant I (where *x* > 0, *y* > 0)

Quadrant II (where *x* < 0, *y* > 0)

Quadrant III (where *x* < 0, *y* < 0)

Quadrant IV (where *x* > 0, *y* < 0)

## Example 1

*A*(4, 3) means

point *A* is located at *x* = 4 and *y* = 3.

So, starting from the origin,

move 4 units to the right (*x* = +4),

and move 3 units upward (*y* = +3).

The endpoint is the location of *A*(4, 3).

So draw point *A* on (4, 3).

## Example 2

*B*(-5, 1) means

point *B* is located at *x* = -5 and *y* = 1.

So, starting from the origin,

move 5 units to the left (*x* = -5),

and move 1 unit upward (*y* = +1).

The endpoint is the location of *B*(-5, 1).

So draw point *B* on (-5, 1).

## Example 3

*C*(-2, 0) means

point *C* is located at *x* = -2 and *y* = 0.

So, starting from the origin,

move 2 units to the left (*x* = -2),

and don't move either upward or downward (*y* = 0).

The endpoint is the location of *C*(-2, 0).

So draw point *C* on (-2, 0).

## Example 4

*D*(3, -5) means

point *D* is located at *x* = 3 and *y* = -5.

So, starting from the origin,

move 3 units to the right (*x* = 3),

and move 5 unit downward (*y* = -5).

The endpoint is the location of *D*(3, -5).

So draw point *D* on (3, -5).