1 00:00:00,670 --> 00:00:05,520 In which quadrant is the point negative 7 comma 7 located? 2 00:00:05,520 --> 00:00:07,890 So let's just review what a quadrant is. 3 00:00:07,890 --> 00:00:10,680 A quadrant are each of the four sections 4 00:00:10,680 --> 00:00:11,750 of the coordinate plane. 5 00:00:11,750 --> 00:00:13,250 And when we talk about the sections, 6 00:00:13,250 --> 00:00:15,870 we're talking about the sections as divided by the coordinate 7 00:00:15,870 --> 00:00:16,960 axes. 8 00:00:16,960 --> 00:00:20,600 So this right here is the x-axis and this up-down axis 9 00:00:20,600 --> 00:00:21,726 is the y-axis. 10 00:00:21,726 --> 00:00:23,600 And you can see it divides a coordinate plane 11 00:00:23,600 --> 00:00:25,140 into four sections. 12 00:00:25,140 --> 00:00:27,950 We call each of these sections quadrants. 13 00:00:27,950 --> 00:00:31,920 This one over here, where both the x-values and the y-values 14 00:00:31,920 --> 00:00:34,910 are positive, we call the first quadrant. 15 00:00:34,910 --> 00:00:37,980 And we use the Roman numeral I. 16 00:00:37,980 --> 00:00:40,170 Then if we kind of move counterclockwise 17 00:00:40,170 --> 00:00:43,120 around the coordinate plane, this quadrant where 18 00:00:43,120 --> 00:00:47,070 the x-values are negative and the y-values are positive, 19 00:00:47,070 --> 00:00:48,825 we call this the second quadrant. 20 00:00:51,370 --> 00:00:52,840 I could write it. 21 00:00:52,840 --> 00:00:56,050 We call this the second quadrant. 22 00:00:56,050 --> 00:00:59,120 Then we go down here where both the x-values are negative 23 00:00:59,120 --> 00:01:00,880 and the y-values are negative. 24 00:01:00,880 --> 00:01:03,110 We call this the third quadrant, once again 25 00:01:03,110 --> 00:01:04,660 using Roman numerals. 26 00:01:04,660 --> 00:01:07,430 Then finally the quadrant where the x-values are positive 27 00:01:07,430 --> 00:01:09,180 but the y-values are negative, we 28 00:01:09,180 --> 00:01:11,560 call this the fourth quadrant. 29 00:01:11,560 --> 00:01:14,310 So let's see which quadrant the point negative 7 comma 30 00:01:14,310 --> 00:01:14,927 7 is located. 31 00:01:14,927 --> 00:01:16,510 So there's two ways to think about it. 32 00:01:16,510 --> 00:01:20,180 You could just say, look, we have a negative x-value. 33 00:01:20,180 --> 00:01:22,030 Our x-value is negative, so we're 34 00:01:22,030 --> 00:01:23,240 going to move to the left. 35 00:01:23,240 --> 00:01:24,730 So we're going to be on this side. 36 00:01:24,730 --> 00:01:26,438 We're going to be on this side right here 37 00:01:26,438 --> 00:01:28,220 of the coordinate plane. 38 00:01:28,220 --> 00:01:30,280 Just by the fact that the x-value is negative, 39 00:01:30,280 --> 00:01:33,040 we're going to be either in the second or the third quadrant. 40 00:01:33,040 --> 00:01:36,150 Now, we know that the y-value is positive. 41 00:01:36,150 --> 00:01:39,230 We know that the y-value is positive. 42 00:01:39,230 --> 00:01:42,430 So if the x-value is negative and the y-value is positive, 43 00:01:42,430 --> 00:01:44,410 we're going to land someplace right over here 44 00:01:44,410 --> 00:01:45,537 in the second quadrant. 45 00:01:45,537 --> 00:01:47,120 The other way to think about it is you 46 00:01:47,120 --> 00:01:48,860 could literally just plot this point 47 00:01:48,860 --> 00:01:51,030 and see that it falls in the second quadrant. 48 00:01:51,030 --> 00:01:52,080 So let's do that. 49 00:01:52,080 --> 00:01:53,400 If x is negative 7. 50 00:01:53,400 --> 00:01:57,040 So that's negative 1, negative 2, negative 3, negative 4, 51 00:01:57,040 --> 00:01:59,607 negative 5, negative 6, negative 7. 52 00:01:59,607 --> 00:02:00,440 Did I do that right? 53 00:02:00,440 --> 00:02:03,690 1, 2, 3 4, 5, 6, 7. 54 00:02:03,690 --> 00:02:05,360 So this is x is negative 7. 55 00:02:05,360 --> 00:02:07,190 And then we have to go up 7 because y 56 00:02:07,190 --> 00:02:08,410 is equal to positive 7. 57 00:02:08,410 --> 00:02:14,510 So 1, 2, 3, 4, 5, 6 7. 58 00:02:14,510 --> 00:02:20,100 So the point negative 7 comma 7 is right over here, 59 00:02:20,100 --> 00:02:23,323 clearly lies in the second quadrant.