ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Systems of Equations Videos 73 videos
How do you solve a system of linear inequalities? Aw, man...and we thought solving a problem like Maria was tough...
Please note: If starting your own petting zoo, Shmoop recommends you stock it with animals that aren’t quite so likely to bite your hand off. Tha...
How Slope Works 3347 Views
Share It!
Transcript
- 00:00
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 - 00:14
alright<00:00:15.030> welcome <00:00:15.330> to <00:00:15.570>mount <00:00:15.870> up - 00:16
alright welcome to mount up - 00:16
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 - 00:18
here's a line with a slope and Full Transcript
- 00:18
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 - 00:19
right there and here the line
- 00:20
right there and here the line with<00:00:20.250>
a <00:00:20.279>slope - 00:21
with a slope
- 00:21
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 - 00:24
what's the slow of this guy here - 00:24
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 - 00:25
well we're going to show you a - 00:25
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 - 00:26
little magic
trick don't worry - 00:26
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 - 00:28
no dogs will be harmed in the
- 00:28
no dogs will be harmed in the making<00:00:28.230>
of <00:00:28.619> magic - 00:29
making of
magic - 00:30
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 - 00:30
alright well the slope of the - 00:30
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 - 00:33
line is just about how steep or
- 00:33
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 - 00:35
flat
it is there's a number - 00:35
flat
it is there's a number associated<00:00:36.300> with <00:00:36.750>that <00:00:36.930>steepness - 00:36
associated with that steepness
- 00:37
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 - 00:38
or flatness called es you
- 00:39
or flatness called es you
guessed<00:00:39.480> it <00:00:39.540>slow - 00:40
guessed it slow - 00:40
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 - 00:41
well
it's usually calculated as - 00:41
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 - 00:43
a fraction of the
Y over X Orion - 00:44
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 - 00:45
fancy-pants math terms it looks - 00:45
fancy-pants math terms it looks like<00:00:46.140> this - 00:46
like this
- 00:47
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 - 00:48
alright so to get the slope of - 00:48
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 - 00:50
the line you just subtract this - 00:50
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 - 00:52
number
the y coordinate for the - 00:52
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 - 00:54
first . from the y coordinate - 00:54
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 - 00:57
for the second
point here in - 00:57
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 - 00:59
this
case we have this 3 minus - 00:59
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 - 01:01
this
0 and the top number in the - 01:01
this
0 and the top number in the fraction<00:01:02.280> is <00:01:02.520> three <00:01:03.090>right - 01:03
fraction is
three right - 01:04
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 - 01:05
halfway there now to calculate - 01:05
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 - 01:07
this number i'll just take the - 01:07
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 - 01:09
first
X here which is 3 and - 01:09
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 - 01:11
subtract the section
X here - 01:12
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 - 01:13
which is
zero and while we get - 01:13
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 - 01:15
three again so our slope - 01:15
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 - 01:16
fraction is just
3 over 3 - 01:17
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 - 01:19
yes the loneliest number
think - 01:19
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 - 01:21
one all right but what if we - 01:21
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 - 01:22
started with this
point as the - 01:22
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 - 01:24
first one
the origin here and - 01:24
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 - 01:26
subtracted
the peak which now - 01:26
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 - 01:28
will call the second number but - 01:28
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 - 01:31
with the slope change now for - 01:31
with the slope change now for the<00:01:31.740> numerator <00:01:32.220> y-coordinate <00:01:33.119>we - 01:33
the numerator
y-coordinate we - 01:33
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 - 01:36
have 0-3 to get negative
3 and - 01:36
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 - 01:37
then we do the same for the
- 01:37
then we do the same for the
x-coordinate<00:01:38.340> here <00:01:38.520>and <00:01:38.790>get - 01:38
x-coordinate here and get - 01:39
x-coordinate here and get negative <00:01:39.840> 3 - 01:40
negative
3 - 01:40
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 - 01:41
well the fraction would be just - 01:42
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 - 01:43
negative 3 over negative 3 which - 01:43
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 - 01:45
in
California is yet again the - 01:45
in
California is yet again the loneliest<00:01:45.750> number - 01:45
loneliest number
- 01:46
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 - 01:48
so the slope is
one that is for - 01:48
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 - 01:50
each
Rock we move ease - 01:51
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 - 01:53
way
as we climb Mount month we - 01:53
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 - 01:55
also rise one
Rock toward the - 01:55
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 - 01:58
Sun slope of one pretty good - 01:58
Sun slope of one pretty good trick - 02:04
trick - 02:05
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 - 02:06
what
did the Buffalo say to his - 02:07
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 - 02:09
son
as he left for school - 02:09
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 - 02:12
bye son okay bad joke but if you - 02:13
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 - 02:13
survived
and how about clicking - 02:14
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 - 02:16
the subscribe button below
and - 02:16
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 - 02:17
if you're looking for more jokes
- 02:17
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 - 02:19
from yours truly why not check
- 02:19
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 - 02:20
out our website at wweshop.com
- 02:20
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 - 02:23
if you want to get updates on - 02:23
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 - 02:24
what's new well check us out on
- 02:24
what's new well check us out on
facebook<00:02:25.040> and <00:02:25.520>to <00:02:26.000>please - 02:31
facebook and twitter to please - 02:31
facebook and twitter to please check<00:02:32.240> our <00:02:32.330>
Related Videos
How do you solve a system of linear inequalities? Aw, man...and we thought solving a problem like Maria was tough...
Please note: If starting your own petting zoo, Shmoop recommends you stock it with animals that aren’t quite so likely to bite your hand off. Tha...
Solving systems of equations by elimination: Survivor-style. Sorry, y... the tribe as spoken.
ACT Math: Intermediate Algebra Drill 3, Problem 4. Solve this system.