### About Linear Equations in two Variables:

A linear equation in two variables is of the form: ax + by = c. For this type of equation, we can pick a value for x and solve for the unknown y or vice versa. Generally, we are asked to graph linear equations in two variables. We start by obtaining and plotting points, we then sketch a line through the points on the coordinate plane.

Test Objectives

- Demonstrate the ability to solve a linear equation
- Demonstrate the ability to complete a table of values
- Demonstrate the ability to plot ordered pairs on the coordinate plane

#1:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -x - y = 5

x | y |
---|---|

-1 | __ |

__ | 3 |

2 | __ |

Watch the Step by Step Video Solution View the Written Solution

#2:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -5x - 4y = -40

x | y |
---|---|

8 | __ |

__ | 5 |

0 | __ |

Watch the Step by Step Video Solution View the Written Solution

#3:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -x - 3y = -6

x | y |
---|---|

0 | __ |

__ | 1 |

-6 | __ |

Watch the Step by Step Video Solution View the Written Solution

#4:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -7x - 2y = 14

x | y |
---|---|

0 | __ |

__ | 0 |

-4 | __ |

Watch the Step by Step Video Solution View the Written Solution

#5:

Instructions: Complete each table of values, then plot the resulting ordered pairs.

a) -8x - 3y = 24

x | y |
---|---|

__ | 8 |

0 | __ |

__ | 0 |

Watch the Step by Step Video Solution View the Written Solution

Written Solutions:

#1:

Solutions:

a)

x | y |
---|---|

-1 | -4 |

-8 | 3 |

2 | -7 |

(-1,-4)

(-8,3)

(2,-7)

Watch the Step by Step Video Solution

#2:

Solutions:

a)

x | y |
---|---|

8 | 0 |

4 | 5 |

0 | 10 |

(8,0)

(4,5)

(0,10)

Watch the Step by Step Video Solution

#3:

Solutions:

a)

x | y |
---|---|

0 | 2 |

3 | 1 |

-6 | 4 |

(0,2)

(3,1)

(-6,4)

Watch the Step by Step Video Solution

#4:

Solutions:

a)

x | y |
---|---|

0 | -7 |

-2 | 0 |

-4 | 7 |

(0,-7)

(-2,0)

(-4,7)

Watch the Step by Step Video Solution

#5:

Solutions:

a)

x | y |
---|---|

-6 | 8 |

0 | -8 |

-3 | 0 |

(-6,8)

(0,-8)

(-3,0)