9-3 The Coordinate Plane
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
9-3 The Coordinate Plane
Warm Up
Use the number line to compare each
pair of integers. Write < or >.
1.
2.
3.
4.
7
–7
–8 –3
0 –4
–2 –5
>
<
>
>
9-3 The Coordinate Plane
Problem of the Day
While delivering pizza, Christian drove 4
miles south, 6 miles west, 2 miles
north, 8 miles east, and then 2 miles
north. How far is Christian from where
he started?
2 miles
9-3 The Coordinate Plane
Learn to locate and graph points on the
coordinate plane.
9-3 The Coordinate Plane
Vocabulary
coordinate plane
axes
x-axis
y-axis
quadrants
origin
coordinates
x-coordinate
y-coordinate
9-3 The Coordinate Plane
A coordinate plane is formed by two number
lines in a plane that intersect at right angles. The
point of intersection is the zero on each
number line.
• The two number lines
are called the axes.
9-3 The Coordinate Plane
A coordinate plane is formed by two number
lines in a plane that intersect at right angles. The
point of intersection is the zero on each
number line.
• The horizontal axis is
called the x-axis.
9-3 The Coordinate Plane
A coordinate plane is formed by two number
lines in a plane that intersect at right angles. The
point of intersection is the zero on each
number line.
• The vertical axis is
called the y-axis.
9-3 The Coordinate Plane
A coordinate plane is formed by two number
lines in a plane that intersect at right angles. The
point of intersection is the zero on each
number line.
• The two axes divide
the coordinate plane
into four quadrants.
9-3 The Coordinate Plane
A coordinate plane is formed by two number
lines in a plane that intersect at right angles. The
point of intersection is the zero on each
number line.
• The point where the
axes intersect is
called the origin.
9-3 The Coordinate Plane
Additional Example 1: Identifying Quadrants
Name the quadrant where each point is
located.
A. X
Quadrant IV
B. Y
Quadrant III
C. S
Quadrant II
9-3 The Coordinate Plane
Check It Out: Example 1
Name the quadrant where each point is
located.
A. V
Quadrant I
B. Z
y-axis
no quadrant
C. T
Quadrant IV
Helpful Hint
Points on the axes are not in any quadrant.
9-3 The Coordinate Plane
An ordered pair gives the location of a point
on a coordinate plane. The first number tells
how far to move right (positive) or left
(negative) from the origin. The second
number tells how far to move up (positive) or
down (negative).
The numbers in an ordered pair are called
coordinates. The first number is called the
x-coordinate. The second number is called
the y-coordinate.
The ordered pair for the origin is (0,0).
9-3 The Coordinate Plane
Additional Example 2A: Locating Points on a
Coordinate Plane
Give the coordinates of each point.
X
From the origin, X is 4 units
right and 1 unit down.
(4, –1)
9-3 The Coordinate Plane
Additional Example 2B: Locating Points on a
Coordinate Plane
Give the coordinates of each point.
Y
From the origin, Y is 2 units
left, and 3 units down.
(–2, –3)
9-3 The Coordinate Plane
Additional Example 2C: Locating Points on a
Coordinate Plane
Give the coordinates of each point.
S
From the origin, S is 3 units
left, and 3 units up.
(–3, 3)
9-3 The Coordinate Plane
Check It Out: Example 2A
Give the coordinates of each point.
V
From the origin, V is 4 units
right and 2 units up.
(4, 2)
9-3 The Coordinate Plane
Check It Out: Example 2B
Give the coordinates of each point.
Z
From the origin, Z is 0 units
right, and 4 units up.
(0, 4)
9-3 The Coordinate Plane
Check It Out: Example 2C
Give the coordinates of each point.
T
From the origin, T is 1 unit
right, and 3 units down.
(1, –3)
9-3 The Coordinate Plane
Additional Example 3: Graphing Points on a
Coordinate Plane
Graph each point on a coordinate plane.
y
A. V(4, 2)
4
From the origin, move 4
units right, and 2 units up.
W
V
2
x
B. W(–3, 1)
From the origin, move 3
units left, and 1 unit up.
–4
–2
0
–2
–4
2
4
9-3 The Coordinate Plane
Additional Example 3: Graphing Points on a
Coordinate Plane
Graph each point on a coordinate plane.
y
C. Z(0, 4)
4
From the origin, move 4
units down.
D. T(1, –3)
From the origin, move 1
unit right, and 3 units
down.
2
x
–4
–2
0
2
–2
–4
T
Z
4
9-3 The Coordinate Plane
Check It Out: Example 3
Graph each point on a coordinate plane.
A. L(3, 4)
y
From the origin, move 3
units right, and 4 units up.
B. M(–3, –3)
From the origin, move 3
units left, and 3 units down.
4
L
2
x
–4
–2
0
–2
M
–4
2
4
9-3 The Coordinate Plane
Check It Out: Example 3C
Graph each point on a coordinate plane.
C. P(1, –2)
y
From the origin, move 1
unit right and 2 units down.
4
2
D. G(–4, –2)
From the origin, move 4
units left, and 2 units down.
x
–4
G
–2
0
–2
–4
2
P
4
9-3 The Coordinate Plane
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
9-3 The Coordinate Plane
Lesson Quiz
Name the quadrant where each ordered pair
is located.
1. (3, –5) IV
2. (–4, –2) III
3. (6, 2) I
4. (–7, 9)
II
Give the coordinates of each
point.
5. A (–2, 3)
6. B (1, 2)
7. C (0, –2)
8. D (–2, –3)
9-3 The Coordinate Plane
Lesson Quiz for Student Response Systems
1. Identify the quadrant where the ordered
pair (5, –8) is located.
A. I
B. II
C. III
D. IV
9-3 The Coordinate Plane
Lesson Quiz for Student Response Systems
2. Identify the quadrant where the ordered
pair (–3, 7) is located.
A. I
B. II
C. III
D. IV
9-3 The Coordinate Plane
Lesson Quiz for Student Response Systems
3. Identify the quadrant where the ordered
pair (–7, –4 ) is located.
A. I
B. II
C. III
D. IV
9-3 The Coordinate Plane
Lesson Quiz for Student Response Systems
4. Identify the coordinates of point X.
A. (4, 4)
B. (–4, 4)
C. (4, –4)
D. (–4, 0)