Coordinate Plane

How to draw a point on a coordinate plane: definition, 4 examples, and their solutions.

Definition

x-axis, y-axis, Origin

A Coordinate plane has two axes.
The x-axis is the horizontal axis.
The y-axis is the vertical axis.
And the origin is the intersection of these two axes.

Quadrants

By the x-axis and the y-axis,
the coordinate plane is divided into four quadrants.

Quadrant I (First Quadrant):
where x > 0, y > 0

Quadrant II (Second Quadrant):
where x < 0, y > 0

Quadrant III (Third Quadrant):
where x < 0, y < 0

Quadrant IV (Fourth Quadrant):
where x > 0, y < 0

Example 1

Example

Solution

Start from the origin.
The x coordinate of (4, 3) is 4.
So move 4 units to the right.

The y coordinate of (4, 3) is 3.
So move 3 units upward.

Draw a point on the endpoint.
This point is (4, 3).

Example 2

Example

Solution

Start from the origin.
The x coordinate of (-5, 1) is -5.
So move 5 units to the left.

The y coordinate of (-5, 1) is 1.
So move 1 unit upward.

Draw a point on the endpoint.
This point is (-5, 1).

Example 3

Example

Solution

Start from the origin.
The x coordinate of (-2, 0) is -2.
So move 2 units to the left.

The y coordinate of (-2, 0) is 0.
So don't move the endpoint:
neither upward nor downward.

Draw a point on the endpoint.
This point is (-2, 0).

Example 4

Example

Solution

Start from the origin.
The x coordinate of (3, -5) is 3.
So move 3 units to the right.

The y coordinate of (3, -5) is -5.
So move 5 units downward.

Draw a point on the endpoint.
This point is (3, -5).