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    essence23's Avatar
    essence23 Posts: 1, Reputation: 1
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    #1

    Jan 17, 2011, 07:01 PM
    what is an equation of a lin that is parallel to the y-axis and contains point (-3,1)
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Jan 17, 2011, 08:17 PM
    As you probably know, the equation of a line is usually of the form y = mx + b, where m is the slope.

    The exception to that is a vertical line. You can't say "y =" anything because there are an infinite number of y values (because the line goes straight up and down). Another way of saying that would be that the slope, m, is infinite.

    Therefore, the equation of a vertical line is written instead as x = c, where c is a constant equal to the x-coordinate of the points on the line. Note that there's no y in the equation at all. It's just like the equation of a horizontal line (of the form y = c, where c is a constant), where there's no x in the equation.

    So given that, can you figure out what the equation is?

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