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# Unit 3

### Linear Equations

Term | Definition |
---|---|

Variable | A letter representing a changing or unknown amount. In y = 2x – 4, y and x are ______________. |

Constant | A term in an equation with no variable. In y = 2x – 4, 4 is a ____________. |

Coefficient | The number that is being multiplied by a variable. In y = 2x – 4, 2 is a ____________. |

Slope | The angle of a line. It is represented by Δy/Δx or rise/run. |

Slope-intercept form | An equation in the form y = mx + b. m is the slope and b is the y-intercept. |

Standard form (of a line) | An equation in the form ax + by = c. The coefficient of x (a) must be a whole number and b and c must be integers. |

Horizontal | A flat line running from right to left. |

Vertical | A line running up and down. |

Parallel | Two lines with the same slope. They are always the same distance from each other and never cross. |

Reciprocals | Two numbers that are fractions that are flipped. 2/3 and 3/2 are ____________. |

Perpendicular | Two lines that are at right angles to each other. There slopes are negative reciprocals of each other. |

Proportional change | If y/x is always the same for a function or related situation. These functions are always in the form y = kx. They are straight lines and have a y-intercept of 0. |

Directly proportional | If the equation for a function can be written in the form y = kx or y/x=k, its variables are considered to be ______________ proportional. |

Inverse variation | If x times y always equals the same number, they are said to be vary _________ or have __________ variation. These functions are always in the form xy = k or y=k/x. |

Cconstant of proportionality | In the equations y = kx, y/x=k, xy = k and y=k/x, k is the _________________________. |

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meminot