System of Linear Equations by Graphing

• a
• b
• c
• d

Solve the system.

• No solutions

• Infinitely many solutions

• Cannot be determined.

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which image shows intersecting lines in a system of linear equations?

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Which image shows parallel lines in a system of linear equations?

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Which image shows a system of linear equations with one solution?

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Which image shows a system of linear equations with infinitely many solutions?

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Which image shows a system of equations with two solutions?

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The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Solve the following system by graphing.  What is the solution?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)