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    aallen333's Avatar
    aallen333 Posts: 1, Reputation: 1
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    #1

    Apr 4, 2009, 12:01 PM
    Slope intercept form
    How do you write this equasion in slope intercept form? Points (3, -5) and is perpendicular to y=1/8x+3.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 4, 2009, 04:34 PM
    The given slope is 1/8. A perpendicular line has a slope, m, that is the negative reciprocal of that. What is the negative reciprocal of 1/8?

    You are given a point it passes through, x=3 and y=-5

    Plug all that into y=mx+b and solve for b. There you have it.

    See. If a line is perpendicular to another line, then it is at a 90 degree angle to that line. Therefore, it's slope is the complete opposite.

    See why the slope is the negative reciprocal now?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #3

    Apr 5, 2009, 06:57 AM

    Just a slight thing I'd like to point out. The gradient of the perpendicular line is not always the negative reciprocal but the opposite sign reciprocal.

    If it were -1/2, the gradient of the perpendicular line would be 2
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #4

    Apr 5, 2009, 07:24 AM
    The last time I checked, the negative reciprocal of -1/2 is +2 :-)
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    Unknown008 Posts: 8,076, Reputation: 723
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    #5

    Apr 5, 2009, 07:34 AM

    I won't like to give you a reddie, but the reciprocal of -1/2 is -2!!
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    Perito Posts: 3,139, Reputation: 150
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    #6

    Apr 5, 2009, 07:38 AM
    The negative reciprocal is the negative of the reciprocal. It's not always 'negative' in and of itself.
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    Unknown008 Posts: 8,076, Reputation: 723
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    #7

    Apr 5, 2009, 07:40 AM

    The sign is for the whole thing and not for the 'reciprocal'. Like

    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #8

    Apr 5, 2009, 07:43 AM

    Mathwords:
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #9

    Apr 5, 2009, 07:47 AM

    The slope of a line perp. To a line with slope 1/8 is -8.

    The negative reciprocal of -1/2 is 2.

    And so on.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #10

    Apr 5, 2009, 08:02 AM
    Quote Originally Posted by Perito View Post
    Mathwords:
    Yes, like I said.
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