1. Ordered Pairs Part 1
Use the following equation to find an ordered pair (x, y) that will be a solution of:
x + y = 10

2. Answer
There are an infinite of solutions because x + y = 10 is a line that goes on forever!

3. COMMON CORE #11
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

4. WHAT IF………………………….. We change x + y = 10 to y = -x + 10
Would that keep our ordered pairs from working? Think about it anyway you can and write a brief explanation explaining your reasoning.
It would change nothing as each ordered pair would still work. All that was changed was the x variable was moved across the = sign and it changed to a negative term.

5. Input and Output When you have y = -x + 10,
Your x-values will be the input and y-values will be the output. This form is known as slope-intercept form.

6. Creating a Table of Ordered Pairs
Lets use y = 4x to create a table of ordered pairs.
We will use a two-column chart for our input/output values. You are allowed to pick any inputs you like, but -2 thru 2 is very common input numbers.

7. y = 4x x y -2 -1 1 2

8. y = 4x x y -2 -8 -1 -4 1 4 2 8

9. y = -2x x y -2 -1 1 2

10. y = -2x x y -2 4 -1 2 1 -4

11. A little harder example!
Lets use the equation:
y = 5x – 6
Why would this be a little harder?

12. y = 5x – 6 x y -2 -1 1 2

13. y = 5x – 6 x y -2
-16 -1
-11 -6 1 2 4

14. y = ½x + 4 x y -2 -1 1 2

15. y = ½x + 4 x y -2 3 -1
3.5 4 1
4.5 2 5

16. PRACTICE PROBLEMS (1) y = 2x (2) y = 4x - 1
Use -2 thru 2 for x-values
#32 THINKING is required

17. APPLICATION
Two ordered pairs of an equation are (6, 5) and (8, 5). What could the equation be?
y = 0x + 5 or y = 5