Question:

Help with parallel and perpendicular lines?

by Guest58117  |  earlier

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My math packet didn't give examples for this part so can you help me?

Tell which of the given equations have parallel line graphs and which have perpendicular line graphs:

1. y=5/2x - 8

2. -15x + 6y - 10=10

3. 4x + 10y = 15

4. 2x + 3y = 1

5. y= 3/2x + 3

6. 6x - 4y -10 = 0

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  1. Parallel lines have the same slope. Perpendicular lines have slopes that are negative inverses (example: 2/3 and -3/2).

    1. y = (5/2)x - 8

    slope = 5/2

    2. -15x+6y-10 = 10

    6y = 15x+20

    y = (5/2)x+10/3

    slope = 5/2

    3. 4x + 10y = 15

    10y = -4x + 15

    y = (-2/5)x + 3/2

    slope = -2/5

    4. 2x + 3y = 1

    3y = -2x + 1

    y = (-2/3)x + 1/3

    slope = -2/3

    5. y = (3/2)x + 3

    slope = 3/2

    6. 6x - 4y - 10 = 0

    4y = 6x-10

    y = (3/2)x - 5/2

    slope = 3/2

    Equations 1 and 2 have parallel line graphs.

    Equation 3 has a line graph perpendicular to the graphs of equations 1 and 2.

    Equations 5 and 6 have parallel graphs.

    Equation 4 has a graph perpendicular to the graphs of equations 5 and 6.

    http://www.flickr.com/photos/dwread/2790...


  2. Get them all into slope-intercept form:

    1. y=(5/2)x-8

    2. 6y=15x+20 or y=(5/2)x+10/3

    3. 10y=-4x+15 or y=(-2/5)x+3/2

    4. 3y=-2x+1 or y=(-2/3)x+1/3

    5. y=(3/2)x+3

    6 -4y=-6x+10 or y=(-3/2)x-5/2

    1 and 2 have the same slope, so they are parallel

    1 and 3, 2 and 3 are perpendicular because if you multiply their slopes the result is -1

    4 and 5 are perpendicular because if you multiply their slopes the result is -1

    _/

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