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# Graphs

### Analyse and Interpret Graphs

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

What is the y-intercept? | the point at which the graph line crosses the y axis. When x=0. |

What is the y intercept from the following equations? 5x +7 | 7 |

What is the y intercept from the following equations? 89x -34 | -34 |

What is the y intercept from the following equations? 12x + 45 | 45 |

What is direct variation? | when the y intercept equals zero, when there is no additional number added or subtracted onto the equation. |

What is a partial variation? | When the y intercept does NOT equal 0. When there IS AN additional number added or subtracted onto the equation. |

Which equations are direct variations? y= -x, y= 0.25 - 1.3, y= 89x | y= -x and y= 89x are direct variations. |

Which variations are partial variations? y= 0.98x + 78, y= 4x - 67, and y= 90x. | y= 0.98x + 78 and y= 4x - 67 are partial variations. |

What is the slope of a graph (or the rate of change)? | A measure of the STEEPNESS of a line. |

How do you tell if an equation is linear? | Has NO VISIBLE exponents |

How do you tell if a table of values is linear? | Has a consistent pattern. |

How do you tell if a graph is linear? | The points line up in a straight line. |

How do you tell if a graph is partial or direct? | Direct: will cross over the 0,0 spot, if not, it is partial. If one of the co-ordinates or one of the places in the table of values is 0,0 then it's direct. |

Equation | a statement that two mathematical expression are equal and have the same value. |

Variable | a letter that represent an unknown number. |

Numerical Coefficient | a number that multiplies the variable. |

Constant | a known value in an equation or an expression. |

Opposite Operation | operations that "undo" other operations. sometimes called "inverse operations" addition/subtraction |

Distributive Property | the rule that states a(b+c) = ab |

What is the gradient of y = 3x+4 | 3 |

Created by:
garfieldwhitebooi