Today we will Graph Linear Equations

Today we will Graph Linear

EquationsGraph = a visual of a set of

ordered pairs on a grid

What is the ordered pair for the points below?

Complete the table

X Y= x +2 Y

0 Y = 0+2 2

1

2

3

y = 2 + 2

3y = 1 + 2

y = 3 + 2

4

5

Linear EquationAn equation for which the

graph is a lineExample:

y = x + 2

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.

GraphingThree Point Method

1. Choose 3 values for “x” and place them in a table.

x Y = x + 3 y (x , y)

0

1

2

GraphingStep 2

Find solutions using table

x Y = x + 3 y (x , y)

0

1

2

Y = 0 + 3

Y = 1 + 3

Y = 2 + 3

3 (0,3)

4

5

(1,4)

(2,5)

Graphing

Step 3:

Graph the points

from the table

(0,3) (1,4)

(2,5)

Graphing

Step 4:

Draw a line to

connect them

Let’s Tryx Y = x - 4 y (x , y)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

5

6

7

y = 5 – 4 1 ( 5, 1)

y = 6 – 4

y = 7 – 4

2

3

( 6, 2)

( 7, 3)

Let’s Tryx Y = 2x y (x , y)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

0

1

2

y = 2(0) 0 ( 0, 0)

y = 2(1)

y = 2(2)

2

4

( 1, 2)

( 2, 4)

Let’s Tryx Y = x + 5 y (x , y)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

1

2

3

y = 1 + 5 6 ( 1, 6)

y = 2 + 5

y = 3 + 5

7

8

( 2, 7)

( 3, 8)

What did you learn?

• What is a linear equation?

• Why is it important?

• Solve and graph y = x - 2