the coordinate plane 5-1. vocabulary coordinate plane- a plane containing a horizontal number line...
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The Coordinate Plane
5-1
*Notes 21
VocabularyCoordinate plane- a plane containing a horizontal
number line and a vertical number line. X-axis- the horizontal number line on a coordinate
plane. Y-axis- the vertical number line on a coordinate
plane. Origin- the intersection of the x-axis and y-axis.Quadrant- the four regions of the coordinate
plane, which are numbered I,II,III,IV.
Ordered pair- consists of two numbers in a certain order.
x
y
–2
–2
2
2–4
–4
4
4
–1–3–5
A coordinate plane is a plane containing a horizontal number line, the x-axis, and a vertical number line, the y-axis. The intersection of these axes is called the origin.
The axes divide the coordinate-plane into four regions called quadrants, which are numbered I, II, III, and IV.
531
1
3
5
0
–3
–5
–1
Quadrant I
Quadrant IV
Quadrant II
Quadrant III
Origin
x-axis
y-axis
Identify the quadrant that contains each point.
Additional Example 1: Identifying Quadrants on a Coordinate Plane
A. SS lies in quadrant IV.
B. TT lies in quadrant I.
C. WW lies on the y-axisbetween Quadrants I and II
W
S
T
x
y
–2
–2
2
2 –4
–4
4
4
–1 –3–5 531
1
3
5
0
–3
–5
–1
Check It Out: Example 1
On your own. Highlight the answer.
Identify the quadrant that contains each point.
A. N
B. X
C. Y
N
X
Y x
y
–2
–2
2
2–4
–4
4
4
–1–3–5 531
1
3
5
0
–3
–5
–1
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 pair
(3, 2)
x-coordinate y-coordinate
Units rightor left from 0
Units upor down from 0
x
y
–2
–2
2
2–4
–4
4
4
–1–3–5 531
1
3
5
0
–3
–5
–1 3 unitsright
2 unitsup
Plot each point on a coordinate plane.
Additional Example 2: Plotting Points on a Coordinate Plane
A. D (3, 3)
Start at the origin. Move3 units right and 3 units up.
B. E (–2, –3)
Start at the origin. Move2 units left and 3 units down.
C. F (3, –5)Start at the origin. Move3 units right and 5 units down.
F
D
E
x
y
–2
–2
2
2–4
–4
4
4
–1–3–5 531
1
3
5
0
–3
–5
–1
Check It Out: Example 2
On your own. Highlight the answer.
Plot each point on a coordinate plane.
A. D (4, 4)
B. E (–2, 3)
C. F (–1, –2)
x
y
–2
–2
2
2–4
–4
4
4
–1–3–5 531
1
3
5
0
–3
–5
–1
Give the coordinatesof each point.
Additional Example 3: Identifying Points on a Coordinate Plane
A. X
Start at the origin. Point Xis 2 units left and 5 units up.
B. Y
Start at the origin. Point Y isone unit left on the x-axis.
C. Z Start at the origin. Point Z is 3 units right and 3 units down.
(–2, 5)
(–1, 0)
(3, –3)Z
X
Y x
y
–2
–2
2
2–4
–4
4
4
–1–3–5 531
1
3
5
0
–3
–5
–1
Check It Out: Example 3
On your own. Highlight the answer.
Give the coordinatesof each point.
A. L
B. M
C. N
NL
M
x
y
–2
–2
2
2–4
–4
4
4
–1–3–5 531
1
3
5
0
–3
–5
–1