1. Warm-Up 4 minutes 1) Given that x = 2, find y where y = 5x + 4.
2) Given that x = 1, find y where 2x + 3y = 8.
*Get a ruler and one piece of graph paper.

2. 7-1 Graphing Ordered Pairs
Objectives:
To plot points using the coordinate system
To identify the quadrant associated with a point
To identify the coordinates of a point

3. The Coordinate Plane y x-axis y-axis x origin -12 -10 -8 -6 -4 -2 2 4

4. Graphing Ordered Pairs
( , ) 4 3
x-coordinate
y-coordinate
left (negative)
right (positive)
up (positive)
down (negative)

5. Example 1 (4,-2) Plot the points , , , and . (3,5) (-4,1) (-3,-4) x y
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-10 -8 -6 -4 -2 2 4 6 8 10 x y
(3,5)
(-4,1)
(4,-2)
(-3,-4)

6. Practice Plot these points on the coordinate plane. 1. (4,6) 2. (6,0)
1. (4,6)
2. (6,0)
3. (-2,5)
4. (-3,-3)
5. (5,-3)

7. Quadrants
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-10 -8 -6 -4 -2 2 4 6 8 10 x y
The point (2,4) is located in the first quadrant.
First
Quadrant
Second
Quadrant
(2,4)
The point (-6,-7) is located in the third quadrant.
Third
Quadrant
Fourth
Quadrant
(-6,-7)

8. Quadrants y II I
( - , + )
( + , + ) x
III IV
( - , - )
( + , - )

9. Practice In which quadrant is each point located? 1. (-3,5) 2. (7,-4)
1. (-3,5)
2. (7,-4)
3. (3,8)
4. (-7,-9)
5. (0,8)

10. Practice y x Find the coordinates of each point in the graph below.
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-10 -8 -6 -4 -2 2 4 6 8 10 x y C F D E B A

11. Drill 1) What quadrant would each point be located in:
2) If you start at the origin and go up 6 and then left 4 units what would be the coordinates of that point?

12. 4.2 Relations
Algebra 1

13. List all the mistakes you see in the picture!

14. Relation A relation is a set of ordered pairs.
Ex: {(2, 3) (3, 6) (-4, 8) (-11, 7)}

15. Relations Domain: the domain of a set is all the possible x-values.
Range: the range of a set is all the possible y-values.
Ex: {(2, 4) (3, 6) (8, 1) (-3, -4)}
Domain is {2, 3, 8, -3}
Range is {4, 6, 1, -4}

16. Mapping
Mapping is when you write the domain in one oval and the range in another oval and then draw arrows from each value in the domain to it’s corresponding value in the range. 4 -1 5 8 6 7 10

17. Domain: {-3, 0, 2, 3, 4}
Range: {-6, -4, 1, 2, 5}

18. Example
What is the domain and range of this graph?

19. Drill {(3, 4) (-3, 6) (-8, 1) (-5, -4) (2, 4)}
{ (-5, 4) (3, 6) (4, 7) (-6, 9) (-5, 11)}
Find the Domain and Range in each set and state whether or not each one is a function.

20. Inverse of a Relation
To take the inverse of a relation you simply switch the x and y coordinates of each ordered pair.
Ex: {(2, 4) (3, 6) (8, 1) (-3, -4)}
Inverse is : {(4, 2) (6, 3) (1, 8) (-4, -3)}