Graph the following lines on the same coordinate plane. y = 2x - 1

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Presentation transcript:

Graph the following lines on the same coordinate plane. y = 2x - 1 Bellwork Graph the following lines on the same coordinate plane. y = 2x - 1 y = -2x + 5

Graphing Systems of Equations Lesson 3-1 3-1 Graphing Systems Of Equations pg 118

Graphing Systems of Equations Lesson 3-1 Multiple Choice: Which ordered pair of numbers is the is the solution to the system? A. (1,-4) B. (-6,-4) C. (-1,-3) D. (-3,-2) x + 2y = -7 2x - 3y = 0

Graphing Systems of Equations Lesson 3-1 Additional Examples Solve the system by graphing. Graph the equations and find the intersection. The solution appears to be (–4, 2). x + 3y = 2 3x + 3y = –6 Check: Show that (–4, 2) makes both equations true. x + 3y = 2 3x + 3y = –6 (–4) + 3(2) 2 3(–4) + 3(2) –6 (–4) + 6 2 –12 + 6 –6 2 = 2 –6 = –6

Graphing Systems of Equations Lesson 3-1 Additional Examples Solve the system by graphing. Check your solution. 2x + y = 5 -x + y = 2

Graphing Systems of Equations Lesson 3-1 Solve the system by graphing. Check your solution. x = 5 y = x

Graphing Systems of Equations Lesson 3-1

Graphing Systems of Equations Lesson 3-1 Additional Examples Classify the system as independent, dependent or inconsistent. y = 3x + 2 –6x + 2y = 4 -3x + y = 4 x – 1/3y = 1

Lesson 3-1 Homework pg 120 1-9 13-19