Transcript Graph Ordered Pairs

Objective
The student will be able to:
graph ordered pairs on a coordinate
plane.
• Coordinate plane - a coordinate system formed by the intersection
a horizontal number line, called the
x – axis, and a vertical number line called the y-axis.
•
of
Points are labeled with capital letters.
• Ordered Pair – a pair of numbers that can be used to represent a point in the
coordinate plane, often expressed as ( x , y ).
• The first coordinate, x, of an ordered pair is the x - coordinate . It tells how
far left or right to move from the origin.
• The second coordinate, y, of an ordered pair is the y - coordinate. It tells how
far up or down to move from the origin.
•
Quadrants - the four regions that the coordinate plane is divided into.
y-axis
x is positive
x is negative
y is positive
II
x-axis
III
I
origin
IV
y is negative
The graph of (x,y) is the point in the plane that corresponds to the
ordered pair (x , y ).
The Origin is always point ( 0 , 0 ).
Ordered pairs are used to locate
points in a coordinate plane.
y-axis (vertical axis)
5
5
-5
x-axis (horizontal
axis)
-5
origin (0,0)
In an ordered pair, the first number is
the x-coordinate. The second number
is the y-coordinate.
Graph. (-3, 2)
5
•
5
-5
-5
What is the ordered pair for A?
1.
2.
3.
4.
(3, 1)
(1, 3)
(-3, 1)
(3, -1)
5
•A
5
-5
-5
What is the ordered pair for B?
1.
2.
3.
4.
(3, 2)
(-2, 3)
(-3, -2)
(3, -2)
5
5
-5
•B
-5
What is the ordered pair for C?
1.
2.
3.
4.
(0, -4)
(-4, 0)
(0, 4)
(4, 0)
5
5
-5
•
C
-5
What is the ordered pair for D?
1.
2.
3.
4.
(-1, -6)
(-6, -1)
(-6, 1)
(6, -1)
5
5
-5
•D
-5
Write the ordered pairs that name
points A, B, C, and D.
A = (1, 3)
B = (3, -2)
C = (0, -4)
D = (-6, -1)
5
•A
5
-5
•D
•B
•
C
-5
The x-axis and y-axis separate the
coordinate plane into four
regions, called quadrants.
II
(-, +)
III
(-, -)
I
(+, +)
IV
(+, -)
Name the quadrant in which each
point is located
(-5, 4)
1.
2.
3.
4.
5.
6.
I
II
III
IV
None – x-axis
None – y-axis
Name the quadrant in which each
point is located
(-2, -7)
1.
2.
3.
4.
5.
6.
I
II
III
IV
None – x-axis
None – y-axis
Name the quadrant in which each
point is located
(0, 3)
1.
2.
3.
4.
5.
6.
I
II
III
IV
None – x-axis
None – y-axis