Coordinate Plane

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: The x-axis is the horizontal number line. And the y-axis the vertical number line. The intersection of these two axes is the origin.

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

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0)

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

Graph A(4, 3) on the given coordinate plane.

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

Graph B(-5, 1) on the given coordinate plane.

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

Graph C(-2, 0) on the given coordinate plane.

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

Graph D(3, -5) on the given coordinate plane.

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).