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# Algebra Ch 5

### Foundations of Algebra Review Cards

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

slope | m = (y2-y1)/(x2-x1) |

slope-intercept form of a line | The equation of the form y = mx + b, where m is the slope and b is the y-intercept. |

Point-slope form of a line | y - y1 = m (x - x1) |

direct variation | y = kx |

Variation constant | k; y/x = k |

Write an equation in slope intercept form given the following: m = 2, b = -6 | y = 2x - 6 |

Write the equation of a line that passes through the given points: (-5,5) and (1,-1) | y = -1x + 0 |

Write the equation of a line that has the given slope and passes through the point: m = -2/3; (9,-6) | y + 6 = -2/3(x-9) Or y = -2/3x + 0 |

Identify the slope and y-intercept. y = 5 + 3/4x | m = 3/4 b = 5 |

Write the equation of a line that passes through the given points. (-4,-9) and (-8,0) | y = -9/4x - 18 |

Write the equation of a line that has the given slope and passes through the point: m = 5; (-2,-3) | y = 5x + 7 |

y-intercept | The coordinate at which a graph intersects the y-axis. |

Slope | The steepness of a line |

Zero Slope | Horizontal Line |

Positive Slope | Line moves up from left to right |

Negative Slope | Line moves down from left to right |

Y varies directly as x. What is the constant of variation when y = 14 when x = 2? | k = 14/2 = 7 |

Y varies directly as x. What is the direct variation equation when y = 14 when x = 2? | y = 7x |

Y varies directly as x. Y = 3 when x = -2. What is the value of x when y = 12? | x = -8 |

Name the slope and a point on the line y-3=2/3(x+5) | m = 2/3; (-5,3) |

Name a point on the line y+2=3(x+4) | (-4,-2) |

Name a point on the line y-10=-6(x-3) | (3,10) |

Graph | You will need to graph a line in the coordinate plane. Start with the y-intercept (b) and follow your slope rule to plot new points. Don't forget to connect the points to form a continuous graph! |

You | are awesome! Thank you for studying for the test tomorrow! (Mention this message to me in private or write me a note on the test tomorrow for 1 bonus point :)) |

Undefined Slope | Vertical Line |

Created by:
Rutledge