This is a ppt on graphs

1. Coordinates
X
X’
Y
Y’
O
Origin
1 2 3 4
+ve direction
-1
-2
-3
-4
-ve direction
-1
-2
-3
-ve
direction
1
2
3
+ve
direction
X-axis : X’OX
Y-axis : Y’OY

2. Coordinates
X
X’
Y
Y’
O
1 2 3 4
-1
-2
-3
-4
-1
-2
-3
1
2
3
(2,1)
(-3,-2)
Ordinate
Abcissa
(?,?)

3. Coordinates
X
X’
Y
Y’
O
1 2 3 4
-1
-2
-3
-4
-1
-2
-3
1
2
3
(2,1)
(-3,-2)
Ordinate
Abcissa
(4,?)

4. Coordinates
X
X’
Y
Y’
O
1 2 3 4
-1
-2
-3
-4
-1
-2
-3
1
2
3
(2,1)
(-3,-2)
Ordinate
Abcissa
(4,-2.5)

5. Quadrants
X
X’ O
Y
Y’
I
II
III IV
(+,+)
(-,+)
(-,-) (+,-)

6. Quadrants
X
X’ O
Y
Y’
I
II
III IV
(+,+)
(-,+)
(-,-) (+,-)
Q : (1,0) lies in which Quadrant?
Ist? IInd?
A : None. Points which lie on the axes do not lie in any
quadrant.

7. Copyright © 2000 by Monica Yuskaitis
Definition
• x axis – a horizontal number line
on a coordinate grid.
1 2 3 4 5
0 6
x

8. Copyright © 2000 by Monica Yuskaitis
Hint
• x is the shortest and likes to lie
down horizontally.
1 2 3 4 5
0 6
x

9. Copyright © 2000 by Monica Yuskaitis
Definition
• y axis – a vertical number line on
a coordinate grid.
1
2
3
4
5
0
6
y

10. Copyright © 2000 by Monica Yuskaitis
Hint
• y is the tallest and stands upright or
vertically.
1
2
3
4
5
0
6
y

11. Copyright © 2000 by Monica Yuskaitis
How to Plot Ordered Pairs
• Step 1 – Always find the x value first,
moving horizontally either right
(positive) or left (negative).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2, 3)
y
x

12. Copyright © 2000 by Monica Yuskaitis
How to Plot Ordered Pairs
• Step 2 – Starting from your new position
find the y value by moving vertically
either up (positive) or down (negative).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2, 3)
(2,3)
y
x

13. Copyright © 2000 by Monica Yuskaitis
How to Find Ordered Pairs
• Step 1 – Find how far over horizontally
the point is by counting to the right
(positive) or the left (negative).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(5, )
y
x

14. Copyright © 2000 by Monica Yuskaitis
How to Find Ordered Pairs
• Step 2 – Now count how far vertically
the point is by counting up (positive)
or down (negative).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(5,4)
y
x

15. Copyright © 2000 by Monica Yuskaitis
What is the ordered pair?
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(3,5)
y
x

16. Copyright © 2000 by Monica Yuskaitis
What is the ordered pair?
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2,6)
y
x