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    Sunshyne05's Avatar
    Sunshyne05 Posts: 5, Reputation: 1
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    #1

    Sep 22, 2007, 06:41 PM
    Slope intercept
    The line through (4,0) that is perpendicular to the line x+y=3
    I am sort of lost and unsure if I am on the right track.

    y-0=-1(x-4)
    y-0=-1x+4
    +0 +0

    y=-1x + 4

    Is this the answer in slope intercept form:confused:
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Sep 23, 2007, 09:14 AM
    Looks good, except watch the slope. The perp line has a slope which is the negative reciprocal of the slope of the given line. The given line has slope -1, so the slope of your line is 1, not -1.

    Yes, you are in slope intercept form, y=mx+b. m is the slope and b is where it crosses the y axis.

    As an aside, do not write the 1 in front of the x. Makes it look rather hackneyed, though, technically it's correct.

    Does that help?
    Sunshyne05's Avatar
    Sunshyne05 Posts: 5, Reputation: 1
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    #3

    Sep 23, 2007, 12:00 PM
    Quote Originally Posted by galactus
    Looks good, except watch the slope. The perp line has a slope which is the negative reciprocal of the slope of the given line. The given line has slope -1, so the slope of your line is 1, not -1.

    Yes, you are in slope intercept form, y=mx+b. m is the slope and b is where it crosses the y axis.

    As an aside, do not write the 1 in front of the x. Makes it look rather hackneyed, though, technically it's correct.

    Does that help?.
    So, if I am understanding you correctly, you are saying that I do not need to put the 1 in front of the x since x by itself is an understood 1 correct? Second, the perpendicular line has a negative reciprocal of the slope given and since the answer ended with the slope being a -1 the reciprocal of that would be 1. The correct answer being... y= x - 4 ?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Sep 23, 2007, 12:07 PM
    That should be y=x+4.

    We know the slope is 1, so we can use y=mx+b to find b and finish.

    4=1(0)+b, b=4

    Therefore, the equation is y=x+4
    Sunshyne05's Avatar
    Sunshyne05 Posts: 5, Reputation: 1
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    #5

    Sep 23, 2007, 09:14 PM
    Quote Originally Posted by galactus
    That should be y=x+4.

    We know the slope is 1, so we can use y=mx+b to find b and finish.

    4=1(0)+b, b=4

    Therefore, the equation is y=x+4
    I am not understanding why it is a positive 4
    chris89's Avatar
    chris89 Posts: 10, Reputation: 3
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    #6

    Sep 23, 2007, 10:34 PM
    Wrong substitution of y and x. The co ordinates that it passes through are 4,0 i.e.. x=4 y=0
    Thus y= 1x + c ---> 0= 4 + c ----> c = -4
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #7

    Sep 24, 2007, 02:56 PM
    Yes, chris fixed it. I had the coordinates backwards. It is indeed y=x-4.

    Sorry 'bout that.:o
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