If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

### Course: 8th grade (Illustrative Mathematics)>Unit 3

Lesson 1: Lesson 3: Representing proportional relationships

# Graphing proportional relationships from a table

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

## Want to join the conversation?

• 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.
• Am I the only one who watched the video like ten
times. • ─────────────────░█░░░░░█...”
─────────────────░█░░░░░█░
─────────────────░█░░░░░█░
──────────░░░───░█░░░░░░█░
─────────░███░──░█░░░░░█░
───────░██░░░██░█░░░░░█░
──────░█░░█░░░░██░░░░░█░
────░██░░█░░░░░░█░░░░█░
───░█░░░█░░░░░░░██░░░█░
──░█░░░░█░░░░░░░░█░░░█░
──░█░░░░░█░░░░░░░░█░░░█░
──░█░░█░░░█░░░░░░░░█░░█░
─░█░░░█░░░░██░░░░░░█░░█░
─░█░░░░█░░░░░██░░░█░░░█░
─░█░█░░░█░░░░░░███░░░░█░
░█░░░█░░░██░░░░░█░░░░░█░
░█░░░░█░░░░█████░░░░░█░
░█░░░░░█░░░░░░░█░░░░░█░
░█░█░░░░██░░░░█░░░░░█░
─░█░█░░░░░████░░░░██░
─░█░░█░░░░░░░█░░██░█░
──░█░░██░░░██░░█░░░█░
───░██░░███░░██░█░░█░
────░██░░░███░░░█░░░█░
──────░███░░░░░░█░░░█░
──────░█░░░░░░░░█░░░█░
──────░█░░░░░░░░░░░░█░
──────░█░░░░░░░░░░░░░█░
──────░█░░░░░░░░░░░░░█░
████──░█░████░░░░░░░░█░
█──█──████──████░░░░░█░
█──█──█──█──█──████████
█──█──████──█──█──────█
█──█──█──█────██──██──█
█──████──█──█──█──────█
█─────█──█──█──█──█████
███████──████──█──────█
──────████──██████████ • 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!
• Ca someone pls explain this to me in actual english • 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 • I thank I don't like math • i thought slope intercept from was y=mx+b
(1 vote) • what if my table dose not have integer values for both coordinates how do i graph them.  