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# Stack #210411

### Linear Equations Flash Cards

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

What is the slope of the line y = 12? | Zero |

Point-Slope Form | y - y1 = m(x - x1) |

Is the line x = 12 horizontal or vertical? | Vertical (Up and Down) |

Slope Formula | m = (y2 - y1)/(x2 - x1) |

What is the slope of the line x = 12? | Undefined |

How do you find the equation of a line given a point and a slope? | Point-Slope Form: y-y1 = m(x-x1) |

What is the equation of the vertical line through (5, 10)? | x = 5 |

How do you find the equation of a line given two points? | Find the slope of the line. Then, substitute the slope and one of the given points into point-slope form: y - y1 = m(x - x1). |

What are the intercepts of the line 3x - 4y = 12? | (0, -3) and (4, 0) |

What is the equation of the horizontal line through (5, 10)? | y = 10 |

Standard Form | ax + by = c |

Slope Intercept Form | y = mx + b |

Point Slope Form | y - y1 = m(x - x1) |

What is the equation of a line with undefined slope and containing the point (-8, 6)? | x = -8 |

What is the most efficient way to graph a line in standard form, ax + by = c? | Find both intercepts, (0, y) and (x, 0). |

What is the most efficient way to graph a line in slope intercept form, y = mx + b? | Plot the y-intercept then count out the slope, m = rise/run. |

Is the line y = 7 horizontal or vertical? | Horizontal (straight across) |

Distance Formula | D = sqrt[(x2 - x1)^2 + (y2 - y1)^2] |

Midpoint Formula | ( (x1 + x2)/2, (y1 + y2)/2 ) |

Direct Variation Equation | y = kx |

Inverse Variation Equation | y = k/x |

Steps for Solving a Variation Problem | 1) Write variation equation. \\2) Substitute given x and y to find k. \\3) Substitute value of k into original equation. \\ 4) Substitute next x or y-value and solve for missing variable. |

Created by:
milesdl