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

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Type 1 Let m=2,6m+2=14 true? Let x=2, y=34x+y=11true? What does this ordered pair (2,3) represent?

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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:

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

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

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

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How to justify your answer WITHOUT a graph: 1)_________________________________________ 2)_________________________________________ a) (1,5) b) (-3,3)

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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

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

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

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

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

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