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# Unit 3

### Linear Relationships

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

direct variation | a relationship between two variables in which one is a constant multiple of the other; a proportional relationship where y=kx |

function | a relationship in which each input (x) has exactly one output (y) |

linear relationship | a relationship that can be represented with a straight line that has a constant rate of change or slope |

proportional | a relationship with a constant ratio, that when graphed passes through the origin and forms a straight line |

slope | rate of change; the ratio of the change in y-values over the change in x-values, or "rise" over "run", the steepness of a line |

slope-intercept form | the equation of a straight line in the form of y=mx + b where m is the slope and b is the y-intercept |

y-intercept | the point where a line crosses the y-axis; the y-value when x is zero |

rate of change | the rate at which one quantity changes relative to the change in the input quantity |

system of equations | a collection of two or more equations with the same set of unknowns |

constant of proportionality | s special relationship between two variables; where when one changes, the other changes as well |

run | horizontal distance a line goes across for a specified distance going up |

rise | vertical distance a line goes u or down for a specified distance going across |

undefined | a word used when an expression in mathematics has no meaning |