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# Year 10 Linear Relat

### Definitions and Facts from the NSW Year 10 Linear Relationships Topic

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

linear equation | an algebraic rule relating two variables that forms a straight line when graphed on the number plane |

gradient intercept form | any linear equation expressed as y = mx + b where m is the gradient and b is the y-intercept |

general form | any linear equation expressed as ax +by + c = 0 where a, b and c are integers and a > 0 |

y-intercept | the y value at which a graph cuts the y axis |

gradient | the ratio of the vertical rise to the horizontal run between any two points on a line. |

parallel lines | lines that point in the same direction and have the same gradient |

midpoint | is the point in the middle of the interval or halfway between the two given end points. |

horizontal line | zero gradient. Parallel to the x axis |

vertical line | undefined gradient. Parallel to the y axis |

positive gradient | slopes up to the right |

negative gradient | slopes down to the right |

non linear equation | equations involving higher powers of x, or in which x is a power, or where x is a denominator |

integer | positive or negative whole number and zero |

Created by:
wdobson