[Script Info]
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[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.67,0:00:05.52,Default,,0000,0000,0000,,In which quadrant is the point\Nnegative 7 comma 7 located?
Dialogue: 0,0:00:05.52,0:00:07.89,Default,,0000,0000,0000,,So let's just review\Nwhat a quadrant is.
Dialogue: 0,0:00:07.89,0:00:10.68,Default,,0000,0000,0000,,A quadrant are each\Nof the four sections
Dialogue: 0,0:00:10.68,0:00:11.75,Default,,0000,0000,0000,,of the coordinate plane.
Dialogue: 0,0:00:11.75,0:00:13.25,Default,,0000,0000,0000,,And when we talk\Nabout the sections,
Dialogue: 0,0:00:13.25,0:00:15.87,Default,,0000,0000,0000,,we're talking about the sections\Nas divided by the coordinate
Dialogue: 0,0:00:15.87,0:00:16.96,Default,,0000,0000,0000,,axes.
Dialogue: 0,0:00:16.96,0:00:20.60,Default,,0000,0000,0000,,So this right here is the\Nx-axis and this up-down axis
Dialogue: 0,0:00:20.60,0:00:21.73,Default,,0000,0000,0000,,is the y-axis.
Dialogue: 0,0:00:21.73,0:00:23.60,Default,,0000,0000,0000,,And you can see it\Ndivides a coordinate plane
Dialogue: 0,0:00:23.60,0:00:25.14,Default,,0000,0000,0000,,into four sections.
Dialogue: 0,0:00:25.14,0:00:27.95,Default,,0000,0000,0000,,We call each of these\Nsections quadrants.
Dialogue: 0,0:00:27.95,0:00:31.92,Default,,0000,0000,0000,,This one over here, where both\Nthe x-values and the y-values
Dialogue: 0,0:00:31.92,0:00:34.91,Default,,0000,0000,0000,,are positive, we call\Nthe first quadrant.
Dialogue: 0,0:00:34.91,0:00:37.98,Default,,0000,0000,0000,,And we use the Roman numeral I.
Dialogue: 0,0:00:37.98,0:00:40.17,Default,,0000,0000,0000,,Then if we kind of\Nmove counterclockwise
Dialogue: 0,0:00:40.17,0:00:43.12,Default,,0000,0000,0000,,around the coordinate\Nplane, this quadrant where
Dialogue: 0,0:00:43.12,0:00:47.07,Default,,0000,0000,0000,,the x-values are negative and\Nthe y-values are positive,
Dialogue: 0,0:00:47.07,0:00:48.82,Default,,0000,0000,0000,,we call this the\Nsecond quadrant.
Dialogue: 0,0:00:51.37,0:00:52.84,Default,,0000,0000,0000,,I could write it.
Dialogue: 0,0:00:52.84,0:00:56.05,Default,,0000,0000,0000,,We call this the\Nsecond quadrant.
Dialogue: 0,0:00:56.05,0:00:59.12,Default,,0000,0000,0000,,Then we go down here where\Nboth the x-values are negative
Dialogue: 0,0:00:59.12,0:01:00.88,Default,,0000,0000,0000,,and the y-values are negative.
Dialogue: 0,0:01:00.88,0:01:03.11,Default,,0000,0000,0000,,We call this the third\Nquadrant, once again
Dialogue: 0,0:01:03.11,0:01:04.66,Default,,0000,0000,0000,,using Roman numerals.
Dialogue: 0,0:01:04.66,0:01:07.43,Default,,0000,0000,0000,,Then finally the quadrant\Nwhere the x-values are positive
Dialogue: 0,0:01:07.43,0:01:09.18,Default,,0000,0000,0000,,but the y-values\Nare negative, we
Dialogue: 0,0:01:09.18,0:01:11.56,Default,,0000,0000,0000,,call this the fourth quadrant.
Dialogue: 0,0:01:11.56,0:01:14.31,Default,,0000,0000,0000,,So let's see which quadrant\Nthe point negative 7 comma
Dialogue: 0,0:01:14.31,0:01:14.93,Default,,0000,0000,0000,,7 is located.
Dialogue: 0,0:01:14.93,0:01:16.51,Default,,0000,0000,0000,,So there's two ways\Nto think about it.
Dialogue: 0,0:01:16.51,0:01:20.18,Default,,0000,0000,0000,,You could just say, look,\Nwe have a negative x-value.
Dialogue: 0,0:01:20.18,0:01:22.03,Default,,0000,0000,0000,,Our x-value is\Nnegative, so we're
Dialogue: 0,0:01:22.03,0:01:23.24,Default,,0000,0000,0000,,going to move to the left.
Dialogue: 0,0:01:23.24,0:01:24.73,Default,,0000,0000,0000,,So we're going to\Nbe on this side.
Dialogue: 0,0:01:24.73,0:01:26.44,Default,,0000,0000,0000,,We're going to be on\Nthis side right here
Dialogue: 0,0:01:26.44,0:01:28.22,Default,,0000,0000,0000,,of the coordinate plane.
Dialogue: 0,0:01:28.22,0:01:30.28,Default,,0000,0000,0000,,Just by the fact that\Nthe x-value is negative,
Dialogue: 0,0:01:30.28,0:01:33.04,Default,,0000,0000,0000,,we're going to be either in the\Nsecond or the third quadrant.
Dialogue: 0,0:01:33.04,0:01:36.15,Default,,0000,0000,0000,,Now, we know that the\Ny-value is positive.
Dialogue: 0,0:01:36.15,0:01:39.23,Default,,0000,0000,0000,,We know that the\Ny-value is positive.
Dialogue: 0,0:01:39.23,0:01:42.43,Default,,0000,0000,0000,,So if the x-value is negative\Nand the y-value is positive,
Dialogue: 0,0:01:42.43,0:01:44.41,Default,,0000,0000,0000,,we're going to land\Nsomeplace right over here
Dialogue: 0,0:01:44.41,0:01:45.54,Default,,0000,0000,0000,,in the second quadrant.
Dialogue: 0,0:01:45.54,0:01:47.12,Default,,0000,0000,0000,,The other way to\Nthink about it is you
Dialogue: 0,0:01:47.12,0:01:48.86,Default,,0000,0000,0000,,could literally\Njust plot this point
Dialogue: 0,0:01:48.86,0:01:51.03,Default,,0000,0000,0000,,and see that it falls\Nin the second quadrant.
Dialogue: 0,0:01:51.03,0:01:52.08,Default,,0000,0000,0000,,So let's do that.
Dialogue: 0,0:01:52.08,0:01:53.40,Default,,0000,0000,0000,,If x is negative 7.
Dialogue: 0,0:01:53.40,0:01:57.04,Default,,0000,0000,0000,,So that's negative 1, negative\N2, negative 3, negative 4,
Dialogue: 0,0:01:57.04,0:01:59.61,Default,,0000,0000,0000,,negative 5, negative\N6, negative 7.
Dialogue: 0,0:01:59.61,0:02:00.44,Default,,0000,0000,0000,,Did I do that right?
Dialogue: 0,0:02:00.44,0:02:03.69,Default,,0000,0000,0000,,1, 2, 3 4, 5, 6, 7.
Dialogue: 0,0:02:03.69,0:02:05.36,Default,,0000,0000,0000,,So this is x is negative 7.
Dialogue: 0,0:02:05.36,0:02:07.19,Default,,0000,0000,0000,,And then we have to\Ngo up 7 because y
Dialogue: 0,0:02:07.19,0:02:08.41,Default,,0000,0000,0000,,is equal to positive 7.
Dialogue: 0,0:02:08.41,0:02:14.51,Default,,0000,0000,0000,,So 1, 2, 3, 4, 5, 6 7.
Dialogue: 0,0:02:14.51,0:02:20.10,Default,,0000,0000,0000,,So the point negative 7\Ncomma 7 is right over here,
Dialogue: 0,0:02:20.10,0:02:23.32,Default,,0000,0000,0000,,clearly lies in the\Nsecond quadrant.