Section 4.2 Graphing Linear Equations Using Tables Wednesday 11/13/13 Class Notes

Type 1 Let m=2, 6m+2=14 true? Let x=2, y=3 4x+y=11 true? What does this ordered pair (2,3) represent?

Important Definitions Coordinate plane: ________________________________________ _____________________________________________________ Each point on the plane corresponds to an ____________ _________ of numbers, __________ The x-axis and y-axis divide the coordinate plane into four quadrants:

RECALL: How to graph ordered pairs (x,y) “Walk before you run!!”

What does a line represent? What is this line made up of?

Use the graph to determine if the following points are solutions: (1,5) (-3,3)

How to justify your answer WITHOUT a graph: _________________________________________ a) (1,5) b) (-3,3)

3 steps for Using a Table to Graph an Equation Step 1: Solve for y & write as f(x)=mx+b Step 2: Choose values for x, and use your function to fill out the table Step 3: Plot the coordinate pairs (points). A line going through these points is a graph of all possible solutions for this equations

Use a table of values to graph the equation y+2=3x Step 1: Example: Use a table of values to graph the equation y+2=3x Step 1: Step 2:

(example cont.) Step 3: Coordinate pairs found from the table in step 2

Use a table of values to graph the equation 3x-2y=6 Step 1: YOUR TURN TO TRY!!  Use a table of values to graph the equation 3x-2y=6 Step 1: Step 2:

(example cont.) Step 3: Coordinate pairs found from the table in step 2