3 1 Graphing Linear Equations Goal Graph a

3 -1 Graphing Linear Equations Goal: Graph a linear equation using a table of values. Eligible Content: A 1. 2. 1 / A 1. 2. 2

Vocabulary �Linear Equation – an equation whose graph is a line. � Examples: �y = 5 x + 4 � 4 x + 2 y = 10 �Solution – any ordered pair that makes an equation true. � If a point is a solution it lies on the graph of the equation. �Graph – the set of all points that are solutions.

Verifying Solutions Algebraically Determine if the given point is a solution of the equation algebraically. 1. x+3 y= 6, (4, -2) NO 2. 4 x + y = 8, (1, 4) YES 3. x – 2 y = 5, (3, -4) NO

Verify Solutions Graphically Use the graph to decide if the points are solutions. 1. (1, 2) 5 NO 4 3 2. 2 (-3, 3) 1 YES 0 -5 -4 -3 -2 -1 0 -1 3. (0, 2) YES -2 -3 -4 -5 1 2 3 4 5

Vocabulary �Table of Values – used to determine which points to plot to create a graph �Graphing – creating a picture that matches an equation

Using a Table of Values to Graph 1. Get y alone 2. Pick at least 5 values for x. 3. Plug each x into equation to find y. 4. Plot each point. 5. Draw the line through the points using a ruler.

Example on Microsoft Excel

Examples 1. y = 3 x + 2 2. y = -2 x + 1 3. 3 x + 2 y = 10 4. 2 x + 2 y = -8

Practice on White Boards 1. y = 4 x + 1 2. y = -3 x + 4 3. 2 x + y = 8 4. 6 x – 2 y = - 8 5. 4 y + 12 x = - 4

Homework �Pages 159 -160 #9, 10, 31 -34