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Coordinate
Plane
Vocabulary
Coordinate
Coordinate Plane
Ordered Pairs
Origin
Plot
Quadrants
X-axis
Y-axis
A coordinate plane is a
plane containing a
horizontal number line, the Quadrant II
(-,+)
x-axis, and a vertical
number line, the y axis. The
–5 –4 –3 –2
intersection of these axes is
called the origin.
Quadrant III
(-,-)
y
5
y-axis
4
3
Quadrant I
(+,+)
2
1
–1
–1
–2
–3
–4
0
x-axis
1
2
x
3
4 5
Origin
Quadrant IV
(+,-)
–5
The axes divide the coordinate-plane into four
regions called quadrants, which are numbered I, II,
III, and IV.
Points on a coordinate
plane are identified by
ordered pairs. An ordered
pair consists of two
numbers in a certain
order. The origin is the
point (0,0). Ordered pairs
are sometimes called
coordinates.
y
5
4
3
2
1
–5 –4 –3 –2 –1
–1
–2
Ordered pair
(3, 2)
x-coordinate
Units right
or left from 0
2 units
up
x
y-coordinate
Units up
or down from 0
–3
–4
–5
0
1
2
3
3 units
right
4 5
Example 1
Identify the quadrant that contains each point.
y
5
A. Point S
Point S lies in quadrant IV.
B. Point T
Point T lies in quadrant I.
C. Point W
Point W lies on the y-axis
between Quadrants I and II
4
3
W
T
2
1
–5
–4 –3 –2 –1
–1
–2
–3
–4
–5
0
x
1
2
3
4 5
S
Practice
Identify the quadrant that contains each point.
y
5
A. Point N
N
Point N lies in quadrant II.
B. Point X
Point X lies in quadrant III.
C. Point Y
Point Y lies on the origin.
4
3
2
1
–5 –4 –3 –2 –1
–1
–2
X
–3
–4
–5
0
x
Y
1
2
3
4 5
Example 2
Plot (this means to graph) each point on a
coordinate plane.
y
5
A. Point D (3, 3)
Start at the origin. Move
3 units right and 3 units up.
B. Point E (–2, –3)
Start at the origin. Move
2 units left and 3 units down.
C. Point F (3, –5)
Start at the origin. Move
3 units right and 5 units down.
4
3
D
2
1
–5 –4 –3 –2 –1
–1
–2
0
x
1
2
3
4 5
E –3
–4
–5
F
Practice
Plot each point on a
coordinate plane.
A. D (4, 4)
Start at the origin. Move
4 units right and 4 units up.
B. E (–2, 3)
Start at the origin. Move
2 units left and 3 units up.
C. F (–1, –2)
Start at the origin. Move
1 unit left and 2 units down.
y
5
E
4
3
D
2
1
0
–5 –4 –3 –2 –1
–1
–2
F
–3
–4
–5
x
1
2
3
4 5
Example 3
Give the coordinates of each point.
y
A. Point X
(–2, 5)
Start at the origin. Point X
is 2 units left and 5 units up.
B. Point Y
(–1, 0)
5
X
4
3
2
Y
1
–5 –4 –3 –2 –1
–1
–2
0
Start at the origin. Point Y is
–3
one unit left on the x-axis.
–4
–5
C. Point Z
(3, –3)
Start at the origin. Point Z is 3 units right and 3
units down.
x
1
2
3
4 5
Z
Practice
Give the coordinates
of each point.
A. Point L
(–4, 3)
Start at the origin. Point L
is 4 units left and 3 units up.
B. Point M
(–2, –2)
y
5
4
3
L
N
2
1
–5 –4 –3 –2 –1
–1
–2
M
0
x
1
–3
Start at the origin. Point M is
–4
2 units left and 2 units down.
–5
C. Point N (3, 4)
Start at the origin. Point N is 3 units right and 4
units up.
2
3
4 5
Example 4
Identify the quadrant that contains each description.
y
A. Positive x-coordinate and
a negative y-coordinate
Quadrant IV
B. Negative x-coordinate
and a negative y-coordinate
Quadrant III.
C. X-coordinate of 0
On the y-axis
5
4
3
2
1
–5 –4 –3 –2 –1
–1
–2
–3
–4
–5
0
x
1
2
3
4 5