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Ch. 3-1 Graphing Systems of Equations

Ch. 3-1 Graphing Systems of Equations. System of Equations. A set of two or more equations that use the same variables. Linear System. A system of equations in which each equation is a line. Ex. 1: Solve the system by graphing. Graph each line on the same coordinate plane. Ex. 1 Continued.

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Ch. 3-1 Graphing Systems of Equations

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  1. Ch. 3-1 Graphing Systems of Equations

  2. System of Equations • A set of two or more equations that use the same variables. Linear System • A system of equations in which each equation is a line.

  3. Ex. 1: Solve the system by graphing Graph each line on the same coordinate plane.

  4. Ex. 1 Continued (-4, 2)

  5. Solve Check understanding #1 on page 117

  6. Graphical Solutions of Linear Systems in two Variables Coinciding Lines Parallel Lines Intersecting Lines Independent Dependent Inconsistent

  7. Ex. 2: Classify the system without graphing. • Find the slope and y-intercept for each linear equation. -6x + 2y = 4 y = 3x + 2 +6x +6x 2y = 6x + 4 y = 3x + 2 m = 3 b = 2 m = 3 b = 2 Dependent: both lines have the same slope and y-intercept

  8. Solve Check understanding 3, (A – C) p. 118

  9. Homework/Classwork • P. 118 # 1 – 35 EOO

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