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Quadrants of Coordinate Plane

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    In which quadrant is the point
    negative 7 comma 7 located?
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    So let's just review
    what a quadrant is.
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    A quadrant are each
    of the four sections
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    of the coordinate plane.
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    And when we talk
    about the sections,
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    we're talking about the sections
    as divided by the coordinate
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    axes.
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    So this right here is the
    x-axis and this up-down axis
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    is the y-axis.
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    And you can see it
    divides a coordinate plane
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    into four sections.
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    We call each of these
    sections quadrants.
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    This one over here, where both
    the x-values and the y-values
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    are positive, we call
    the first quadrant.
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    And we use the Roman numeral I.
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    Then if we kind of
    move counterclockwise
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    around the coordinate
    plane, this quadrant where
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    the x-values are negative and
    the y-values are positive,
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    we call this the
    second quadrant.
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    I could write it.
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    We call this the
    second quadrant.
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    Then we go down here where
    both the x-values are negative
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    and the y-values are negative.
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    We call this the third
    quadrant, once again
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    using Roman numerals.
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    Then finally the quadrant
    where the x-values are positive
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    but the y-values
    are negative, we
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    call this the fourth quadrant.
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    So let's see which quadrant
    the point negative 7 comma
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    7 is located.
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    So there's two ways
    to think about it.
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    You could just say, look,
    we have a negative x-value.
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    Our x-value is
    negative, so we're
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    going to move to the left.
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    So we're going to
    be on this side.
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    We're going to be on
    this side right here
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    of the coordinate plane.
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    Just by the fact that
    the x-value is negative,
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    we're going to be either in the
    second or the third quadrant.
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    Now, we know that the
    y-value is positive.
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    We know that the
    y-value is positive.
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    So if the x-value is negative
    and the y-value is positive,
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    we're going to land
    someplace right over here
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    in the second quadrant.
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    The other way to
    think about it is you
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    could literally
    just plot this point
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    and see that it falls
    in the second quadrant.
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    So let's do that.
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    If x is negative 7.
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    So that's negative 1, negative
    2, negative 3, negative 4,
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    negative 5, negative
    6, negative 7.
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    Did I do that right?
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    1, 2, 3 4, 5, 6, 7.
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    So this is x is negative 7.
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    And then we have to
    go up 7 because y
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    is equal to positive 7.
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    So 1, 2, 3, 4, 5, 6 7.
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    So the point negative 7
    comma 7 is right over here,
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    clearly lies in the
    second quadrant.
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Title:
Quadrants of Coordinate Plane
Description:

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Video Language:
English
Team:
Khan Academy
Duration:
02:24

English subtitles

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