Main content

## 8th grade

### Unit 3: Lesson 1

Graphing proportional relationships- Rates & proportional relationships example
- Rates & proportional relationships: gas mileage
- Rates & proportional relationships
- Graphing proportional relationships: unit rate
- Graphing proportional relationships from a table
- Graphing proportional relationships from an equation
- Graphing proportional relationships

© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Graphing proportional relationships from a table

CCSS.Math:

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?(8 votes)
- 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.(8 votes)

- Am I the only one who watched the video like ten

times.(11 votes) - ─────────────────░█░░░░░█...”

─────────────────░█░░░░░█░

─────────────────░█░░░░░█░

──────────░░░───░█░░░░░░█░

─────────░███░──░█░░░░░█░

───────░██░░░██░█░░░░░█░

──────░█░░█░░░░██░░░░░█░

────░██░░█░░░░░░█░░░░█░

───░█░░░█░░░░░░░██░░░█░

──░█░░░░█░░░░░░░░█░░░█░

──░█░░░░░█░░░░░░░░█░░░█░

──░█░░█░░░█░░░░░░░░█░░█░

─░█░░░█░░░░██░░░░░░█░░█░

─░█░░░░█░░░░░██░░░█░░░█░

─░█░█░░░█░░░░░░███░░░░█░

░█░░░█░░░██░░░░░█░░░░░█░

░█░░░░█░░░░█████░░░░░█░

░█░░░░░█░░░░░░░█░░░░░█░

░█░█░░░░██░░░░█░░░░░█░

─░█░█░░░░░████░░░░██░

─░█░░█░░░░░░░█░░██░█░

──░█░░██░░░██░░█░░░█░

───░██░░███░░██░█░░█░

────░██░░░███░░░█░░░█░

──────░███░░░░░░█░░░█░

──────░█░░░░░░░░█░░░█░

──────░█░░░░░░░░░░░░█░

──────░█░░░░░░░░░░░░░█░

──────░█░░░░░░░░░░░░░█░

████──░█░████░░░░░░░░█░

█──█──████──████░░░░░█░

█──█──█──█──█──████████

█──█──████──█──█──────█

█──█──█──█────██──██──█

█──████──█──█──█──────█

█─────█──█──█──█──█████

███████──████──█──────█

──────████──██████████(4 votes) - i thought slope intercept from was y=mx+b(2 votes)
- y = mx + b is the formula to graphing a line.

y = mx + b

where m = slope and b = the y-intercept(4 votes)

- what if my table dose not have integer values for both coordinates how do i graph them.(3 votes)
- If you have x=0.4 and y= 0.8 for example, you can subtract both of them with a number that will make them integers. You can use 5 in this case, because when you subtract 0.4 with 5, it's 2, and when you subtract 0.8 with 5, it 's 4. And so, you would have two integers.(2 votes)

- 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(2 votes)
- Can a relationship be proportion if the slope negative or positive and will the slope be the same or different?(2 votes)
- When I do the same type of problem the same way, mine turns out wrong. Is Khan Academy bugged?(1 vote)
- No, at least not as far as I've seen. If your answer keeps turning out wrong, try doing it the other way to see if that's right.

If it isn't right, try overlooking your problem and try to figure out what you did wrong.

I hope this was helpful!(2 votes)

- Why is Y first if we usually write X first? Did a random person just decide that or is there a deeper meaning here?(1 vote)
- Y is first because we usually right equations like this...

a=b+c

When writing equations, it's considered best practice to put the variable we are defining, on the left side of the = sign. however, it does not change the meaning of the equation if we have b+c=a(2 votes)

- When Y is 0, X is also 0, so technically 0/0=1/6? Wut?(1 vote)
- NO that is not correct. Multiply any x value by 1/6 and you get the y-value. 0 * (1/6) = 0. All proportional relationships must go through (0,0).(2 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.