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Understanding Linear Equations: Graphing with Tables and Coordinate Pairs

This lesson on linear equations covers key concepts of graphing using tables. We'll explore the coordinate plane, understanding that each point corresponds to a pair of numbers. The x-axis and y-axis divide the plane into four quadrants. Important definitions and steps are provided to graph ordered pairs and determine if points are solutions to equations. We will walk through three steps for using a table to graph an equation. Use practical examples and have a chance to practice on your own.

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Understanding Linear Equations: Graphing with Tables and Coordinate Pairs

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  1. Section 4.2Graphing Linear EquationsUsing Tables Wednesday 11/13/13 Class Notes

  2. 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?

  3. 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:

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

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

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

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

  8. 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

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

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

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

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

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