guys i don't know how to graph still is that imbaressing?

NO. It is not embarrassing. Graphing points is a simple thing to do. When you have a pair of coordinates, the first number is the X axis and the second number is the Y axis. To remember which number goes with what axes, just remember that X comes before Y in the alphabet. On the graph, each axes will have numbers on it. The number on the pair of coordinates, corresponds to the number on the graph. For example: A random pair coordinates that was given was (9,2). The fist number is the X axis and the value is nine. I find number 9 on the X axis and wait there. The second number is 2, so from the 9 go up to the 2 on the Y axis. One you place to dot, you are done.

i thought slope intercept from was y=mx+b

y = mx + b is the formula to graphing a line. y = mx + b where m = slope and b = the y-intercept

Wouldn't you have to divide 1/6 to get the slope ? For example, 1 divided by 6 which would be .166 or is that what I would do to figure out the average rate of change?

No, no, you do not have to! Let me show you and easy way that my teacher always taught me: The slope is Rise/Run (Rise over Run). This means that if you have a point on your linear graph, if you go up Rise, then over Run, you get another point on the line! Lets do it with 1/6... Say you have a point of a line on a graph, (1,2) and you know that the slope is 1/6. Simply go up 1 from that point and right 6. This would end us up at (7,3). Now you have to points to graph your equation. You can also go down 1 then left 6 and get the same answer. Every time you go down though, it is adding negative (-) and every time you go left it is adding (-), and negative/negative is positive, that is why down, then left works. To further answer your question, 1/6 is exactly the same as .16666... but is simpler to look at that .16666... 1/6 is a fraction and doesn't need to be a decimal! It takes some getting used to. And, .16666... is for every 1 unit on the x axis, go .16666. It is the same graph if you did it this way, but it would take a lot more work plotting that .166666 then .33333. It is easier just to use rise over run. Try it out on a few problems, it may help you out!

Main content

Pre-algebra

Course: Pre-algebra > Unit 13

Lesson 1: Graphing proportional relationships

Graphing proportional relationships from a table

Name: Graphing proportional relationships from a table
Uploaded: 2013-08-09T22:30:13Z
Description: Sal graphs the equation of a line that represents a proportional relationship given a table.

Google Classroom

Sal graphs the equation of a line that represents a proportional relationship given a table. Created by Sal Khan.

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sgomez66
Posted 5 years ago. Direct link to sgomez66's post “guys i don't know how to ...”
guys i don't know how to graph still is that imbaressing?
Button navigates to signup pageComment on sgomez66's post “guys i don't know how to ...”
(13 votes)
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- mad moustache
  Posted 3 years ago. Direct link to mad moustache's post “NO. It is not embarrassin...”
  NO. It is not embarrassing. Graphing points is a simple thing to do. When you have a pair of coordinates, the first number is the X axis and the second number is the Y axis. To remember which number goes with what axes, just remember that X comes before Y in the alphabet. On the graph, each axes will have numbers on it. The number on the pair of coordinates, corresponds to the number on the graph. For example: A random pair coordinates that was given was (9,2). The fist number is the X axis and the value is nine. I find number 9 on the X axis and wait there. The second number is 2, so from the 9 go up to the 2 on the Y axis. One you place to dot, you are done.
  Comment on mad moustache's post “NO. It is not embarrassin...”
  (15 votes)
Kendra Beals
Posted 3 years ago. Direct link to Kendra Beals's post “Am I the only one who wat...”
Am I the only one who watched the video like ten
times.
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(13 votes)
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- prehistoric-rishi
  Posted 3 months ago. Direct link to prehistoric-rishi's post “Now that you say it, mayb...”
  Now that you say it, maybe I should too...
  Button navigates to signup page
  (1 vote)
Alejandra
Posted 10 years ago. Direct link to Alejandra's post “Wouldn't you have to divi...”
Wouldn't you have to divide 1/6 to get the slope ? For example, 1 divided by 6 which would be .166 or is that what I would do to figure out the average rate of change?
Button navigates to signup pageComment on Alejandra's post “Wouldn't you have to divi...”
(0 votes)
Answer
- Matthew Hileman
  Posted 10 years ago. Direct link to Matthew Hileman's post “No, no, you do not have t...”
  No, no, you do not have to! Let me show you and easy way that my teacher always taught me:
  The slope is Rise/Run (Rise over Run). This means that if you have a point on your linear graph, if you go up Rise, then over Run, you get another point on the line! Lets do it with 1/6...
  Say you have a point of a line on a graph, (1,2) and you know that the slope is 1/6. Simply go up 1 from that point and right 6. This would end us up at (7,3). Now you have to points to graph your equation. You can also go down 1 then left 6 and get the same answer. Every time you go down though, it is adding negative (-) and every time you go left it is adding (-), and negative/negative is positive, that is why down, then left works.
  To further answer your question, 1/6 is exactly the same as .16666... but is simpler to look at that .16666... 1/6 is a fraction and doesn't need to be a decimal! It takes some getting used to. And, .16666... is for every 1 unit on the x axis, go .16666. It is the same graph if you did it this way, but it would take a lot more work plotting that .166666 then .33333. It is easier just to use rise over run. Try it out on a few problems, it may help you out!
  Comment on Matthew Hileman's post “No, no, you do not have t...”
  (27 votes)
emily.hildreth
Posted 7 years ago. Direct link to emily.hildreth's post “Ca someone pls explain th...”
Ca someone pls explain this to me in actual english
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(4 votes)
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Technoblade
Posted 3 months ago. Direct link to Technoblade's post “I'm so sorry, could you p...”
I'm so sorry, could you please tell the formula for finding slope again? I am sorry I am asking this question :(
Button navigates to signup pageComment on Technoblade's post “I'm so sorry, could you p...”
(3 votes)
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- chair
  Posted a month ago. Direct link to chair's post “rise over run, (*Y final...”
  rise over run,
  (Y final minus Y initial) over (X final minus X initial),
  or ΔY/ΔX.
  Button navigates to signup page
  (1 vote)
Rob
Posted 20 days ago. Direct link to Rob's post “At no point in any of the...”
At no point in any of the videos of the lesson is slope taught...
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(4 votes)
Answer
Dawson D
Posted a year ago. Direct link to Dawson D's post “I thank I don't like math”
I thank I don't like math
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(3 votes)
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- chair
  Posted a month ago. Direct link to chair's post “think again”
  think again
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  (2 votes)
Hairy Chicken Nuggets
Posted 7 months ago. Direct link to Hairy Chicken Nuggets's post “Could you keep showing ex...”
Could you keep showing examples like these but also harder examples because when I go to do the actual work there are complicated decimals and fractions, not just whole numbers.
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(3 votes)
Answer
- Sherry Brown
  Posted 6 months ago. Direct link to Sherry Brown's post “cuenun”
  cuenun
  Comment on Sherry Brown's post “cuenun”
  (1 vote)
tenzink25
Posted 3 years ago. Direct link to tenzink25's post “could you guys not do the...”
could you guys not do the soo simple ones do ones that are a bit more complicated cause this one doesn't help at all I always get 4.8 never a perfect whole number like 1 5 or 6
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(3 votes)
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taylorbug0778
Posted 6 years ago. Direct link to taylorbug0778's post “i thought slope intercept...”
i thought slope intercept from was y=mx+b
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(1 vote)
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- ???
  Posted 6 years ago. Direct link to ???'s post “y = mx + b is the formul...”
  y = mx + b is the formula to graphing a line.
  y = mx + b
  where m = slope and b = the y-intercept
  Button navigates to signup page
  (5 votes)

Video transcript

We're asked to graph the proportional relationship shown in the table below. And they give us a table of x values, and the corresponding y values. So we see when x is equal to 0, y is equal to 0. Then they give us a bunch of other points. When x is 3, y is 0.5. When x is 6, y is 1, so on and so forth. So let's graph one of these that actually have integer values for both coordinates. So when x is 6, y is 1. So we only need two points to specify the line. So we've actually graphed it. But then they also ask us, what is the slope of this line? And we just have to remind ourselves. Our slope is what is our change in y for a given change in x. So, for example, or another way to think about it, what is your change in y over your change in x? So here, our x changed by 6. It went from 0 to 6. And our y changed by 1. So our change in y over our change in x, which is the definition of slope, our change in y is 1, when our change in x is 6. See that right over here. Change in y, 1 when our change in x is 6. Let's check our answer. We got it right.