WEBVTT

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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.