1. Warm Ups {(2,0) (-1,3) (2,4)} Write as table Write as graph
Write as map
State domain & range
State the inverse

2. 5-3 Equations as Relations
Objective: To determine solutions to equations.
Standard 16.0

3. Ordered pairs: always write in alphabetical order
(x, y) (a, b) (r, s)
Linear Equation: an equation that, when graphed, creates a straight line.
Solution: ordered pairs that give a true statement

4. Example 1 Which of these are solutions of 3x + y = 8 ?
Plug in the values for x and y
Simplify each side
Check if they are equal
(4,-4) (8,0) (2,2) (3,1)
x y
3(4) + (-4) = 8
= 8
8 = 8
Yes!
x y
3(8) + 0 = 8
= 8
24 = 8
No!
x y
3(2) + 2 = 8
6 + 2 = 8
8 = 8
Yes!
x y
3(3) + 1 = 8
9 + 1 = 8
10 = 8
No!

5. Example 2 Solve the equation 2x + 2y = 14 given x = -3 2(-3) + 2y = 14
Substitute
Solve for remaining variable
Write as ordered pair
2x + 2y = 14
2(-3) + 2y = 14
-6 + 2y = 14
2y = 20
y = 10
(-3, 10)

6. Given the domain…
Solve the equation x + y = 4 if the domain is {-4, -2, 0, 2, 4}
Plug it in, domain = x
Answer as ordered pairs!

7. What if… I gave you the range instead of the domain?
How would you solve the equation given the range?
Plug the values in for y, then solve for x

8. Example 3
Make a table and graph y = x + 6 if the domain is {-4,-3,2,4}
This is a linear equation so you should be able to connect the dots and make a line.
Answer:
(-4,2) (-3,3) (2,8) (4,10)

9. TOO y = -1 for 3x = 13 – 2y x = 10 for 5x + 3 = y Answers (5, -1)
(10, 53)

10. Homework
5-3 Practice

11. Math Lab Warm Ups {(3,-1) (0,4) (2,4) (3,3)} Write as table
Write as graph
Write as map
State domain & range
State the inverse

12. Practice 1 Solve the linear equation given the following domain:
2x+ y = 8 domain: {-2, -1, 0, 3, 6}

13. Practice 2 Solve the linear equation given the following range:
2x+ 4y = 10 range: {-1, 0, 1, 3, 6}