0:00:00.000,0:00:00.670


0:00:00.670,0:00:05.520
In which quadrant is the point[br]negative 7 comma 7 located?

0:00:05.520,0:00:07.890
So let's just review[br]what a quadrant is.

0:00:07.890,0:00:10.680
A quadrant are each[br]of the four sections

0:00:10.680,0:00:11.750
of the coordinate plane.

0:00:11.750,0:00:13.250
And when we talk[br]about the sections,

0:00:13.250,0:00:15.870
we're talking about the sections[br]as divided by the coordinate

0:00:15.870,0:00:16.960
axes.

0:00:16.960,0:00:20.600
So this right here is the[br]x-axis and this up-down axis

0:00:20.600,0:00:21.726
is the y-axis.

0:00:21.726,0:00:23.600
And you can see it[br]divides a coordinate plane

0:00:23.600,0:00:25.140
into four sections.

0:00:25.140,0:00:27.950
We call each of these[br]sections quadrants.

0:00:27.950,0:00:31.920
This one over here, where both[br]the x-values and the y-values

0:00:31.920,0:00:34.910
are positive, we call[br]the first quadrant.

0:00:34.910,0:00:37.980
And we use the Roman numeral I.

0:00:37.980,0:00:40.170
Then if we kind of[br]move counterclockwise

0:00:40.170,0:00:43.120
around the coordinate[br]plane, this quadrant where

0:00:43.120,0:00:47.070
the x-values are negative and[br]the y-values are positive,

0:00:47.070,0:00:48.825
we call this the[br]second quadrant.

0:00:48.825,0:00:51.370


0:00:51.370,0:00:52.840
I could write it.

0:00:52.840,0:00:56.050
We call this the[br]second quadrant.

0:00:56.050,0:00:59.120
Then we go down here where[br]both the x-values are negative

0:00:59.120,0:01:00.880
and the y-values are negative.

0:01:00.880,0:01:03.110
We call this the third[br]quadrant, once again

0:01:03.110,0:01:04.660
using Roman numerals.

0:01:04.660,0:01:07.430
Then finally the quadrant[br]where the x-values are positive

0:01:07.430,0:01:09.180
but the y-values[br]are negative, we

0:01:09.180,0:01:11.560
call this the fourth quadrant.

0:01:11.560,0:01:14.310
So let's see which quadrant[br]the point negative 7 comma

0:01:14.310,0:01:14.927
7 is located.

0:01:14.927,0:01:16.510
So there's two ways[br]to think about it.

0:01:16.510,0:01:20.180
You could just say, look,[br]we have a negative x-value.

0:01:20.180,0:01:22.030
Our x-value is[br]negative, so we're

0:01:22.030,0:01:23.240
going to move to the left.

0:01:23.240,0:01:24.730
So we're going to[br]be on this side.

0:01:24.730,0:01:26.438
We're going to be on[br]this side right here

0:01:26.438,0:01:28.220
of the coordinate plane.

0:01:28.220,0:01:30.280
Just by the fact that[br]the x-value is negative,

0:01:30.280,0:01:33.040
we're going to be either in the[br]second or the third quadrant.

0:01:33.040,0:01:36.150
Now, we know that the[br]y-value is positive.

0:01:36.150,0:01:39.230
We know that the[br]y-value is positive.

0:01:39.230,0:01:42.430
So if the x-value is negative[br]and the y-value is positive,

0:01:42.430,0:01:44.410
we're going to land[br]someplace right over here

0:01:44.410,0:01:45.537
in the second quadrant.

0:01:45.537,0:01:47.120
The other way to[br]think about it is you

0:01:47.120,0:01:48.860
could literally[br]just plot this point

0:01:48.860,0:01:51.030
and see that it falls[br]in the second quadrant.

0:01:51.030,0:01:52.080
So let's do that.

0:01:52.080,0:01:53.400
If x is negative 7.

0:01:53.400,0:01:57.040
So that's negative 1, negative[br]2, negative 3, negative 4,

0:01:57.040,0:01:59.607
negative 5, negative[br]6, negative 7.

0:01:59.607,0:02:00.440
Did I do that right?

0:02:00.440,0:02:03.690
1, 2, 3 4, 5, 6, 7.

0:02:03.690,0:02:05.360
So this is x is negative 7.

0:02:05.360,0:02:07.190
And then we have to[br]go up 7 because y

0:02:07.190,0:02:08.410
is equal to positive 7.

0:02:08.410,0:02:14.510
So 1, 2, 3, 4, 5, 6 7.

0:02:14.510,0:02:20.100
So the point negative 7[br]comma 7 is right over here,

0:02:20.100,0:02:23.323
clearly lies in the[br]second quadrant.

0:02:23.323,0:02:23.823