Tables and Relations

1
ObjectiveThe student will be able to
complete a table for a linear equation and graph
the ordered pairs. SOL A.6, A.7bf
Designed by Skip Tyler, Varina High School
2
List some pairs of numbers that will satisfy the
equation x y 4.

• x 1 and y 3
• x 2 and y 2
• x 4 and y 0
• What about negative numbers?
• If x -1 then y ?
• y 5

3
x y 4What about decimals?If x 2.6 then y
?

• y 1.4
• Now, lets graph the pairs of numbers we have
  listed.

4
(1, 3) (2, 2) (4, 0) (-1, 5) (2.6, 1.4)

• Connect the points on your graph.
• What does the graph look like?

5
It is a straight line! It is a linear relation.


What does the line represent?

• All solutions for the equation xy4!
• Is (3, -1) a solution to this equation?
• NO! You can check by graphing it or plugging into
  the equation!

6
1) Which is a solution to2x y 5?

1. (2, 1)
2. (3, 2)
3. (4, 3)
4. (5, 4)

7
2) Which ordered pair is not a solution to the
graph shown?

1. (0, -1)
2. (3, 5)
3. (-2, -5)
4. (-3, -1)

8
3) Solve the following equation for y 2x
y 4

1. Draw the river
2. Subtract 2x from both sides
3. Simplify. Write the equation with the variable
   first.

-2x -2x y -2x 4
9
4) Solve the following equation for y
4x - 5y 7

1. Draw the river
2. Subtract 4x from both sides
3. Simplify. Write the equation with the variable
   first.
4. Divide both sides by -5
5. Does the fraction simplify?

-4x -4x -5y -4x 7
-5 -5
10
5) Solve the following equation for y6x 2y 8

1. y -6x 8
2. y 6x 8
3. y -3x 4
4. y 3x - 4

11
6) Make a table and graph the solution set of
4x 2y 6.

1. Draw the river
2. Subtract 4x from both sides
3. Simplify. Write the equation with the variable
   first.
4. Divide both sides by 2
5. Does the fraction simplify?

-4x -4x 2y -4x 6
2 2
12
Lets use the domain 0, 1, 2 for our equation.
Create a t-table by picking at least three
numbers to plug into our equation.
-2(0) 3 3 (0, 3) -2(1) 3
1 (1, 1) -2(2) 3 -1
(2, -1)
13
Graph (0, 3), (1, 1), (2, -1)

• Draw a line through your points. It should be a
  straight line.

14
Graph (0, 3), (1, 1), (2, -1)



15
Which is the graph of y -x 3?
Test using the slope slider!
A
B
C
D

1. A
2. B
3. C
4. D