Name: ___________________________Date: _____________Hour



Name: ___________________________Date: _____________Hour:____________

LINEAR SYSTEMS Using a Graphing Calculator to Solve Systems

For each of the following, FIRST SOLVE BOTH EQUATIONS FOR Y, IF NEEDED. Then graph the equations on a graphing calculator and TRACE to find where they intersect. Plug the intersection point into both equations to show that it solves them.

|1. y = 2x + 3 y = 3x -1 |[pic] |

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|Find Intersection & Plug solution back in: | |

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|2. y = 2x + 3 y = 2x -4 |[pic] |

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|Find Intersection & Plug solution back in: | |

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|3. y = 2x x + y = 12 |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

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|4. 2x + y = 3 y = 2x +3 |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

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|5. x + y = 5 x – y = -10 |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

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|6. x + y = -10 2x + 20 = -2y |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

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|7. 2y = -4x + 2 2y = x – 16 |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

|8. 2y = -6x + 2 -4 = y + 3x |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

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|9. -6x + 3y + 15 = 0 -9x – 5y + 13 = 0 |[pic] |

|Solve for y: | |

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|Find Intersection & Plug solution back in: | |

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10.Did any of the equations pairs in question #1-9 produce parallel lines?

(a) Write the equations that SOLVED FOR Y that produced parallel lines below:

(b) What do you notice about the slopes of the equations that made parallel lines?

11.Did any of the equations pairs in question #1-9 produce perpendicular lines?

(a) Write the equations that SOLVED FOR Y that produced perpendicular lines below:

(b) What do you notice about the slopes of the equations that made perpendicular lines?

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