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4.2 Graphing linear equations Objective: Graph a linear equation using a table of values

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Linear Equations A linear equation in x and y is an equation that can be written in the form Ax + By = C Note: A and B are not both zero. A solution of an equation in two variables is an ordered pair (x,y) that makes the equation true.

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Check Solutions of Linear Equations Determine whether the ordered pair is a solution of x + 2y = 5 (1,2) (7, -3)

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Practice Determine whether the ordered pair is a solution of 2x + y = 1. (-3,7) (3, -7)

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Function Form A two-variable equation is written in function form if one of its variables is isolated on one side of the equation. Example: y = 3x + 4 is in function form. 2x + 3y = 6 is NOT in function form

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Find Solutions of Linear Equations Find three ordered pairs that are solutions of -2x + y = -3

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Practice Find three ordered pairs that are solutions of 3x + y = 4

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Graphs of Linear Equations The graph of an equation in x and y is the set of all points (x,y) that are solutions of the equation. The graph of a linear equation can be shown to be a straight line.

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Graph a Linear Equation Use a table of values to graph y = 3x – 2

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Graph a Linear Equation Use a table of values to graph y = – 2x + 1

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Practice Use a table of values to graph 4y – 2x = 8

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Practice Use a table of values to graph 2x – y = 7

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