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Published byReid Gouldin Modified over 3 years ago

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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=3 4x+y=11 true? 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:**

(1,5) (-3,3)

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**How to justify your answer WITHOUT a graph:**

_________________________________________ 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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**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:

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

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**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:

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

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Objective: To graph linear inequalities in two variables.

Objective: To graph linear inequalities in two variables.

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