Today we will Graph Linear Equations Graph = 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 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

An equation for which the graph is a line Linear Equation An equation for which the graph is a line Example: 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.

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

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

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

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

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)

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)

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)

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