1. Today we will Graph Linear Equations
Graph = a visual of a set of ordered pairs on a grid

2. What is the ordered pair for the points below?

3. Complete the table X Y= x +2 Y Y = 0+2 2 1 3 3 y = 1 + 2 4 y = 2 + 2 5
Y = 0+2 2 1 3 3
y = 1 + 2 4
y = 2 + 2 5
y = 3 + 2

4. An equation for which the graph is a line
Linear Equation
An equation for which the graph is a line
Example:
y = x + 2

5. Why is this important?
You can use this to solve real life problems (For example, when you are adding and subtracting from your bank account constantly)
This will help you with algebra
You HAVE to know algebra to get into college.

6. Graphing 1. Choose 3 values for “x” and place them in a table.
Three Point Method
1. Choose 3 values for “x” and place them in a table. x
Y = x + 3 y
(x , y) 1 2

7. Find solutions using table
Graphing
Step 2 x
Y = x + 3 y
(x , y)
Find solutions using table 3
(0,3)
Y = 0 + 3 1 4
(1,4)
Y = 1 + 3 2 5
(2,5)
Y = 2 + 3

8. Graph the points from the table
Graphing
Step 3:
Graph the points from the table
(0,3) (1,4) (2,5)

9. Step 4: Draw a line to connect them
Graphing
Step 4: Draw a line to connect them

10. Let’s Try
y = x – 4
1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them x
Y = x - 4 y
(x , y) 5
y = 5 – 4 1
( 5, 1) 2 6
y = 6 – 4
( 6, 2) 7
y = 7 – 4 3
( 7, 3)

11. Let’s Try y = 2x 1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them x
Y = 2x y
(x , y)
y = 2(0)
( 0, 0) 2 1
y = 2(1)
( 1, 2) 2
y = 2(2) 4
( 2, 4)

12. Let’s Try
y = x + 5
1. Choose 3 values for “x” and place them in a table.
2. Find solutions using table
3. Graph the points from the table
4. Draw a line to connect them x
Y = x + 5 y
(x , y) 1
y = 1 + 5 6
( 1, 6) 7 2
y = 2 + 5
( 2, 7) 3
y = 3 + 5 8
( 3, 8)

13. What did you learn? What is a linear equation? Why is it important?
Solve and graph y = x - 2