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Thread: Set of All Points

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    Super Member harpazo's Avatar
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    Set of All Points

    Plot the points (0, 3), (1, 3), (-2, 3), (5, 3), and (-4, 3). Describe the set of all points of the form (x, 3), where x is a real number.

    What exactly is this question asking?
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    Re: Set of All Points

    Quote Originally Posted by harpazo View Post
    Plot the points (0, 3), (1, 3), (-2, 3), (5, 3), and (-4, 3). Describe the set of all points of the form (x, 3), where x is a real number.

    What exactly is this question asking?
    That set of points is a horizontal line in the $xy$-plane with $y$-intercept $(0,3)$.
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    Super Member harpazo's Avatar
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    Re: Set of All Points

    Quote Originally Posted by Plato View Post
    That set of points is a horizontal line in the $xy$-plane with $y$-intercept $(0,3)$.
    I decided to plot each point given. The line y = 3 as you said passes through the point (0, 3). I can also see that the value of y remains the same on the line y = 3 while the x-value changes at every point on the horizontal line.
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