# 004 Sample Final A, Problem 14

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a) Find an equation of the line passing through (-4, 2) and (3, 6).

b) Find the slope of any line perpendicular to your answer from a)

Foundations |
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1) How do you find the slope of a line through points and ? |

2) What is the equation of a line? |

3) How do you find the slope of a line perpendicular to a line ? |

Answer: |

1) The slope is given by . |

2) The equation of a line is where is a point on the line. |

3) The slope is given by where is the slope of the line . |

Solution:

Step 1: |
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Using the above equation, the slope is equal to . |

Step 2: |
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The equation of the line is . Solving for , |

we get . |

Step 3: |
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The slope of any line perpendicular to the line in Step 2 is . |

Final Answer: |
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The slope is , the equation of the line is , and |

the slope of any line perpendicular to this line is . |