# ACT Math 5.2 Coordinate Geometry

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ACT Math: Coordinate Geometry Drill 5, Problem 2. Which of these three lines are parallel?

ACT Math | Coordinate Geometry |

ACT Mathematics | Coordinate Geometry |

Construction | Parallel Lines |

Coordinate Geometry | Parallel and perpendicular lines |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Language | English Language |

Parallel and Perpendicular Lines | Parallel Lines |

Product Type | ACT Math |

### Transcript

The key activity in this problem is to just reconstitute the equations to be in

standard line form.

For equation one its already in that form and the slope is -3.

For equation 2

let's start by subtracting 6x from both sides and we have

-2y equals -6x plus 4

multiply both sides by -1 to get 2y equal 6x -4

we divide both sides by 2 to get y equals 3x -2

So the slope is positive 3. For equation three we start by adding 9x to both

sides to get 3y equals 9x - 1

Now get rid the 3 in the 3y by dividing both sides by 3 to get y

equals 3x -1 by three. So the slope here is 3.

We have one equation with slope -3

and two with positive 3. So 2 and 3 are parallel.

Option C is our answer.