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Thread: Express algebraically

  1. #1
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    Express algebraically

    Express each of the following algebraically:

    a. a vertical line 2 units to the left of the y-axis
    b. a line parallel to the x-axis and contains the point (3,5)
    c. a set of points where the abscissa is always twice the ordinate.
    d. the set of pints in the fourth quadrant

    help please, thanks!
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  2. #2
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    Quote Originally Posted by reiward View Post
    Express each of the following algebraically:

    a. a vertical line 2 units to the left of the y-axis
    b. a line parallel to the x-axis and contains the point (3,5)
    c. a set of points where the abscissa is always twice the ordinate.
    d. the set of pints in the fourth quadrant

    help please, thanks!
    a. x = -2
    b. y = 5
    c. y = \frac{x}{2} + c (c = constant)
    d. ......(x, -y)...?
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  3. #3
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    a) x = -2


    b) a line that is parallel to x axis and goes through (3,5) also goes through (4,5) and (5,5).. etc. any x is good as long as y coordinate remains 5.

    so y = 5
    covers them all x-es.

    c)
    abscissa = x-axis
    ordinate = y-axis

    x = 2y
    or better
    y = x/2

    d) 4th quadrant is the lower right one.
    in the 4th quadrant x are positive and y are negative.
    so x > 0
    and y < 0.
    M = {x,y | (x>0) ^ (y<0)}
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