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    marissa2011's Avatar
    marissa2011 Posts: 1, Reputation: 1
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    #1

    Sep 19, 2011, 01:56 PM
    What if the lines has an undefined slope and no why intercept?
    (7, -8) (7,7) slope: undefined
    Y-intercept: none
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Sep 19, 2011, 04:37 PM
    Since the line is perfectly vertical, it's slope is infinite and, as you said, there's no defined y-intercept. Usually equations of lines are written in the form y = mx + b, but in the special case of a vertical line, the equation is written as x = c, where c is a constant. In this case, it would be x = 7. Like any line, it's comprised by all of the points which satisfy it's equation. In this case, all points with x-values of 7 are on the line. Y can be anything, all the way from -infinity to infinity.
    RPVega's Avatar
    RPVega Posts: 29, Reputation: 2
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    #3

    Sep 27, 2011, 10:47 AM
    Point A: (7,-8)
    Point B: (7,7)

    slope = m = rise / run = (y2 - y1) / (x2 - x1)
    m = (7 - (-8)) / (7 - 7) = (7 + 8) / 0 = 15/0 = infinity

    If you try to calculate 15 / 0, on your calculator,
    you will get an error message, because 15 divided by 0
    equals infinity. It's a good thing to remember: all vertical
    lines have an infinite slope, while all horizontal lines
    have a 0 (zero) slope.
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