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# Chapter 3

### Linear functions

Question | Answer |
---|---|

Constant increase situation | y=2x+5; 5 is the y-intercept or INITAL CONDITION or staring point in the situation; graph slants up from left to right; positive slope |

LINEAR FUNCTION (SLOPE INTERCEPT FORM) | y=mx=b or f(x)=mx+b |

Constand decrease situation | y=-2/3x=50; graph slants down from left to right; negative slope |

PIECEWISE LINEAR | union of segments or pieces of two or more linear functions |

LINEAR COMBINATION | EX: 20P + 32L |

STANDARD FORM OF AN EQUATION FOR A LINE | Ax+By=C; graph where A and B are not both 0 is a line |

Horizontal line | slope=0; y= # |

Vertical line | slope undefined; x=# |

Oblique line | Ax+By=C; A and B both not 0; slope= -A/B |

POINT-SLOPE THEOREM | If al ine contains (x1,y1) and has slope m, then it has equation y-y1=m(x-x1) |

Find an eqaution of the line thorugh (3,5) (6, -1) | 1) find slope; m=-2 2)use ponit-slope form with either point; y-5=-2(x-3) 3) standard form; 2x+y=11 |

ARITHMETIC SEQUENCE | a sequence with a constant difference between successive terms |

RECURSIVE FORMULA | a1 an=an-1+d |

EXPLICIT FORMULA | an= a1+(n-1)d |

GREATEST INTEGER SYMBOL [] (round down) | EX: [2 3/4]=2; [-2.1]=-3 |

EX: Bottles are oackaged in cartons of 8. Write an equation that gives the nmber of complete cartons c packaged each day, if the company prepares b bottles each day. | c=[b/8] |

Created by:
jessries0139