In which quadrant is the point

negative 7 comma 7 located? So let’s just review

what a quadrant is. A quadrant are each

of the four sections of the coordinate plane. And when we talk

about the sections, we’re talking about the sections

as divided by the coordinate axes. So this right here is the

x-axis and this up-down axis is the y-axis. And you can see it

divides a coordinate plane into four sections. We call each of these

sections quadrants. This one over here, where both

the x-values and the y-values are positive, we call

the first quadrant. And we use the Roman numeral I. Then if we kind of

move counterclockwise around the coordinate

plane, this quadrant where the x-values are negative and

the y-values are positive, we call this the

second quadrant. I could write it. We call this the

second quadrant. Then we go down here where

both the x-values are negative and the y-values are negative. We call this the third

quadrant, once again using Roman numerals. Then finally the quadrant

where the x-values are positive but the y-values

are negative, we call this the fourth quadrant. So let’s see which quadrant

the point negative 7 comma 7 is located. So there’s two ways

to think about it. You could just say, look,

we have a negative x-value. Our x-value is

negative, so we’re going to move to the left. So we’re going to

be on this side. We’re going to be on

this side right here of the coordinate plane. Just by the fact that

the x-value is negative, we’re going to be either in the

second or the third quadrant. Now, we know that the

y-value is positive. We know that the

y-value is positive. So if the x-value is negative

and the y-value is positive, we’re going to land

someplace right over here in the second quadrant. The other way to

think about it is you could literally

just plot this point and see that it falls

in the second quadrant. So let’s do that. If x is negative 7. So that’s negative 1, negative

2, negative 3, negative 4, negative 5, negative

6, negative 7. Did I do that right? 1, 2, 3 4, 5, 6, 7. So this is x is negative 7. And then we have to

go up 7 because y is equal to positive 7. So 1, 2, 3, 4, 5, 6 7. So the point negative 7

comma 7 is right over here, clearly lies in the

second quadrant.