### About Parallel Lines:

When we have two parallel lines, the slopes will be the same, but the y-intercepts will be different. When we have perpendicular lines, the product of the slopes will be -1. To determine if we have parallel or perpendicular lines, place each line in slope-intercept form and inspect the slopes.

Test Objectives

- Demonstrate an understanding of parallel and perpendicular lines
- Demonstrate the ability to determine if a pair of lines are parallel
- Demonstrate the ability to determine if a pair of lines are perpendicular

#1:

Instructions: Determine if each pair of lines is parallel, perpendicular, or neither.

a) 7x + 2y = 10 : 4x - 14y = 42

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#2:

Instructions: Determine if each pair of lines is parallel, perpendicular, or neither.

a) 2x - 5y = 0 : 6x - 15y = -30

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#3:

Instructions: Write the standard form of the equation of the line described.

a) through (-3,1) : parallel to:

y | = | -1x | - | 2 |

3 |

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#4:

Instructions: Write the standard form of the equation of the line described.

a) through (1,5) : parallel to:

y | = | -1x | - | 2 |

6 |

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#5:

Instructions: Write the standard form of the equation of the line described.

a) through (4,-5) : perpendicular to:

y | = | 8x | - | 1 |

5 |

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Written Solutions:

#1:

Solutions:

a) perpendicular

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#2:

Solutions:

a) parallel

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#3:

Solutions:

a) x + 3y = 0

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#4:

Solutions:

a) x + 6y = 31

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#5:

Solutions:

a) 5x + 8y = -20