ShmoopTube

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we<00:00:01.560> see<00:00:02.040> how<00:00:04.589> slope<00:00:05.040> works<00:00:05.490> a<00:00:05.819> lot

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alright<00:00:15.030> welcome<00:00:15.330> to<00:00:15.570> mount<00:00:15.870> up

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alright welcome to mount up

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alright welcome to mount up here's<00:00:16.740> a<00:00:16.800> line<00:00:17.130> with<00:00:17.279> a<00:00:17.369> slope<00:00:17.609> and

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here's a line with a slope and

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here's a line with a slope and right<00:00:18.840> there<00:00:19.020> and<00:00:19.560> here<00:00:19.680> the<00:00:19.830> line

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right there and here the line

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right there and here the line with<00:00:20.250> a<00:00:20.279> slope

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with a slope

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with a slope what's<00:00:21.750> the<00:00:21.840> slow<00:00:22.109> of<00:00:22.650> this<00:00:22.920> guy<00:00:23.130> here

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what's the slow of this guy here

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what's the slow of this guy here well<00:00:24.720> we're<00:00:24.900> going<00:00:25.050> to<00:00:25.109> show<00:00:25.230> you<00:00:25.410> a

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well we're going to show you a

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well we're going to show you a little<00:00:25.650> magic<00:00:25.949> trick<00:00:26.400> don't<00:00:26.580> worry

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little magic trick don't worry

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little magic trick don't worry no<00:00:26.939> dogs<00:00:27.330> will<00:00:27.480> be<00:00:27.599> harmed<00:00:27.930> in<00:00:28.109> the

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no dogs will be harmed in the

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no dogs will be harmed in the making<00:00:28.230> of<00:00:28.619> magic

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making of magic

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making of magic alright<00:00:30.240> well<00:00:30.359> the<00:00:30.449> slope<00:00:30.750> of<00:00:30.840> the

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alright well the slope of the

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alright well the slope of the line<00:00:31.170> is<00:00:31.500> just<00:00:31.769> about<00:00:31.920> how<00:00:32.189> steep<00:00:32.820> or

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line is just about how steep or

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line is just about how steep or flat<00:00:34.380> it<00:00:34.530> is<00:00:34.649> there's<00:00:35.550> a<00:00:35.610> number

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flat it is there's a number

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flat it is there's a number associated<00:00:36.300> with<00:00:36.750> that<00:00:36.930> steepness

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associated with that steepness

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associated with that steepness or<00:00:37.649> flatness<00:00:38.160> called<00:00:38.489> es<00:00:38.910> you

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or flatness called es you

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or flatness called es you guessed<00:00:39.480> it<00:00:39.540> slow

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guessed it slow

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guessed it slow well<00:00:40.500> it's<00:00:40.649> usually<00:00:41.040> calculated<00:00:41.430> as

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well it's usually calculated as

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well it's usually calculated as a<00:00:41.850> fraction<00:00:42.300> of<00:00:42.570> the<00:00:42.750> Y<00:00:42.899> over<00:00:43.230> X<00:00:43.469> Orion

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a fraction of the Y over X Orion

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a fraction of the Y over X Orion fancy-pants<00:00:44.879> math<00:00:45.090> terms<00:00:45.480> it<00:00:45.780> looks

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fancy-pants math terms it looks

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fancy-pants math terms it looks like<00:00:46.140> this

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like this

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like this alright<00:00:47.760> so<00:00:48.120> to<00:00:48.210> get<00:00:48.300> the<00:00:48.450> slope<00:00:48.750> of

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alright so to get the slope of

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alright so to get the slope of the<00:00:48.930> line<00:00:49.110> you<00:00:49.500> just<00:00:49.559> subtract<00:00:50.250> this

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the line you just subtract this

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the line you just subtract this number<00:00:50.550> the<00:00:51.239> y<00:00:51.420> coordinate<00:00:52.020> for<00:00:52.230> the

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number the y coordinate for the

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number the y coordinate for the first<00:00:52.680> .<00:00:53.100> from<00:00:53.699> the<00:00:53.789> y<00:00:54.000> coordinate

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first . from the y coordinate

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first . from the y coordinate for<00:00:54.809> the<00:00:54.899> second<00:00:55.530> point<00:00:56.010> here<00:00:56.879> in

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for the second point here in

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for the second point here in this<00:00:57.809> case<00:00:58.109> we<00:00:58.230> have<00:00:58.350> this<00:00:58.500> 3<00:00:58.920> minus

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this case we have this 3 minus

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this case we have this 3 minus this<00:00:59.730> 0<00:01:00.239> and<00:01:00.930> the<00:01:01.020> top<00:01:01.320> number<00:01:01.500> in<00:01:01.770> the

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this 0 and the top number in the

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this 0 and the top number in the fraction<00:01:02.280> is<00:01:02.520> three<00:01:03.090> right

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fraction is three right

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fraction is three right halfway<00:01:04.470> there<00:01:04.589> now<00:01:05.100> to<00:01:05.369> calculate

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halfway there now to calculate

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halfway there now to calculate this<00:01:05.970> number<00:01:06.330> i'll<00:01:06.810> just<00:01:07.320> take<00:01:07.439> the

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this number i'll just take the

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this number i'll just take the first<00:01:08.010> X<00:01:08.310> here<00:01:08.549> which<00:01:08.820> is<00:01:08.970> 3<00:01:09.360> and

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first X here which is 3 and

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first X here which is 3 and subtract<00:01:10.530> the<00:01:10.710> section<00:01:11.250> X<00:01:11.640> here

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subtract the section X here

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subtract the section X here which<00:01:12.510> is<00:01:12.720> zero<00:01:12.869> and<00:01:13.590> while<00:01:13.770> we<00:01:13.890> get

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which is zero and while we get

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which is zero and while we get three<00:01:14.250> again<00:01:14.520> so<00:01:14.970> our<00:01:15.060> slope

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three again so our slope

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three again so our slope fraction<00:01:15.960> is<00:01:16.110> just<00:01:16.350> 3<00:01:16.530> over<00:01:16.770> 3

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fraction is just 3 over 3

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fraction is just 3 over 3 yes<00:01:17.880> the<00:01:18.000> loneliest<00:01:18.479> number<00:01:18.720> think

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yes the loneliest number think

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yes the loneliest number think one<00:01:19.950> all<00:01:20.640> right<00:01:20.700> but<00:01:21.210> what<00:01:21.360> if<00:01:21.450> we

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one all right but what if we

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one all right but what if we started<00:01:21.720> with<00:01:22.080> this<00:01:22.259> point<00:01:22.770> as<00:01:22.890> the

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started with this point as the

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started with this point as the first<00:01:23.400> one<00:01:23.610> the<00:01:23.850> origin<00:01:24.240> here<00:01:24.420> and

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first one the origin here and

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first one the origin here and subtracted<00:01:25.500> the<00:01:25.560> peak<00:01:26.130> which<00:01:26.700> now

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subtracted the peak which now

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subtracted the peak which now will<00:01:27.270> call<00:01:27.450> the<00:01:27.720> second<00:01:28.290> number<00:01:28.320> but

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will call the second number but

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will call the second number but with<00:01:29.130> the<00:01:29.220> slope<00:01:29.490> change<00:01:29.909> now<00:01:30.900> for

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with the slope change now for

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with the slope change now for the<00:01:31.740> numerator<00:01:32.220> y-coordinate<00:01:33.119> we

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the numerator y-coordinate we

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the numerator y-coordinate we have<00:01:33.600> 0-3<00:01:34.770> to<00:01:35.220> get<00:01:35.369> negative<00:01:35.640> 3<00:01:36.060> and

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have 0-3 to get negative 3 and

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have 0-3 to get negative 3 and then<00:01:36.659> we<00:01:36.780> do<00:01:36.900> the<00:01:36.990> same<00:01:37.380> for<00:01:37.500> the

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then we do the same for the

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then we do the same for the x-coordinate<00:01:38.340> here<00:01:38.520> and<00:01:38.790> get

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x-coordinate here and get

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x-coordinate here and get negative<00:01:39.840> 3

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negative 3

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negative 3 well<00:01:41.040> the<00:01:41.100> fraction<00:01:41.549> would<00:01:41.700> be<00:01:41.850> just

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well the fraction would be just

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well the fraction would be just negative<00:01:42.450> 3<00:01:42.630> over<00:01:42.720> negative<00:01:42.899> 3<00:01:43.229> which

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negative 3 over negative 3 which

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negative 3 over negative 3 which in<00:01:43.829> California<00:01:44.430> is<00:01:44.700> yet<00:01:44.909> again<00:01:45.030> the

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in California is yet again the

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in California is yet again the loneliest<00:01:45.750> number

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loneliest number

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loneliest number so<00:01:46.740> the<00:01:46.860> slope<00:01:46.979> is<00:01:47.189> one<00:01:47.579> that<00:01:48.119> is<00:01:48.210> for

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so the slope is one that is for

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so the slope is one that is for each<00:01:49.079> Rock<00:01:49.590> we<00:01:49.799> move<00:01:50.220> ease

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each Rock we move ease

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each Rock we move ease way<00:01:51.330> as<00:01:51.750> we<00:01:51.930> climb<00:01:52.440> Mount<00:01:52.740> month<00:01:53.159> we

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way as we climb Mount month we

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way as we climb Mount month we also<00:01:53.640> rise<00:01:53.940> one<00:01:54.420> Rock<00:01:54.840> toward<00:01:55.200> the

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also rise one Rock toward the

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also rise one Rock toward the Sun<00:01:55.770> slope<00:01:56.700> of<00:01:57.210> one<00:01:57.540> pretty<00:01:58.170> good

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Sun slope of one pretty good

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Sun slope of one pretty good trick

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trick

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trick what<00:02:05.900> did<00:02:05.990> the<00:02:06.080> Buffalo<00:02:06.530> say<00:02:06.800> to<00:02:06.980> his

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what did the Buffalo say to his

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what did the Buffalo say to his son<00:02:07.610> as<00:02:07.730> he<00:02:07.850> left<00:02:08.149> for<00:02:08.420> school

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son as he left for school

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son as he left for school bye<00:02:09.860> son<00:02:11.660> okay<00:02:12.200> bad<00:02:12.410> joke<00:02:12.500> but<00:02:12.740> if<00:02:12.920> you

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bye son okay bad joke but if you

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bye son okay bad joke but if you survived<00:02:13.550> and<00:02:13.670> how<00:02:13.760> about<00:02:13.970> clicking

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survived and how about clicking

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survived and how about clicking the<00:02:14.510> subscribe<00:02:14.750> button<00:02:15.260> below<00:02:15.650> and

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the subscribe button below and

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the subscribe button below and if<00:02:16.700> you're<00:02:16.820> looking<00:02:17.090> for<00:02:17.150> more<00:02:17.360> jokes

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if you're looking for more jokes

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if you're looking for more jokes from<00:02:17.840> yours<00:02:18.290> truly<00:02:18.650> why<00:02:18.830> not<00:02:19.040> check

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from yours truly why not check

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from yours truly why not check out<00:02:19.400> our<00:02:19.550> website<00:02:19.880> at<00:02:20.180> wweshop.com

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out our website at wweshop.com

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out our website at wweshop.com if<00:02:22.430> you<00:02:22.550> want<00:02:22.700> to<00:02:22.760> get<00:02:22.820> updates<00:02:23.300> on

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if you want to get updates on

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if you want to get updates on what's<00:02:23.690> new<00:02:23.840> well<00:02:24.170> check<00:02:24.470> us<00:02:24.560> out<00:02:24.680> on

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what's new well check us out on

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what's new well check us out on facebook<00:02:25.040> and<00:02:25.520> twitter<00:02:25.670> to<00:02:26.000> please

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facebook and twitter to please

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facebook and twitter to please check<00:02:32.240> our<00:02:32.330> facebook

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