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In which quadrant is the point -7, 7 located?

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So let's just review what a quadrant is

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A quadrant is each of the four sections of the coordinate plane.

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and when we talk about the sections we're talking about the sections

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as divided by the coordinate axis.

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So this right here is the x-axis, and this up down axis is the y-axis,

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and you can see it divides the coordinate plane 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 y values are positive

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we call the first quadrant, and we use the roman numeral 1.

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Then if we move counterclockwise around the coordinate plane

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This quadrant, where the x values are negative and the y values are positive

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we call the second quadrant.

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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 and the y values are negative,

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we call this the third quadrant.

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Once again using roman numerals.

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Then finally the quadrant where the x values are positive but the y values are

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negative, we call this the fourth quadrant.

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So let's see which quadrant the point -7, 7 is located.

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So there's two ways to think about it, you could just say look: We have a negative

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x value, our x value is negative, so we're gonna move to the left, we're gonna be on this side.

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We're going to be on this of the coordinate plane.

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So just by the fact that the x value is negative, we're gonna be in either

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the second or the third quadrant.

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Now we know that the y value is positive, 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, we're gonna land

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some place right overe here in the second quadrant.

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The other way to think about it is that you can literally just plot this point

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and see that it falls in the second quadrant, so let's do that.

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If x is negative 7, so it'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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One. Two. Three. Four. Five. Six. Seven.

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So x is negative 7, and then we have to go up 7, because y is positive 7.

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So one. Two. Three. Four. Five. Six. Seven.

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So the point -7, 7 is right over here.

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Clearly lies in the second quadrant.