yego.me
yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Constant of proportionality from graph | 7th grade | Khan Academy

less than 1m read
·Nov 11, 2024

The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph? Pause this video and see if you can figure that out.

All right, now let's do this together and let's remind ourselves what a constant of proportionality even is. If we know that there is a proportional relationship between y and x, then there will be a constant of proportionality between these variables. What this is, is it is a number that I would have to multiply x by to get to y.

So I could make a little table here, as we often do when we describe proportional relationships. X and y. We know that when x is 0, y is 0. But if I multiply 0 by anything, I'm going to get 0.

But then when x is 1, what is y? When x is 1, y is 3. They mark it right over there. When x is 2, what is y? X is 2, we see that y is 6.

So our constant of proportionality is what are we multiplying x by to get to y? Well, let's see. To go from one to three, I have to multiply by three. To go from two to six, I have to multiply by three.

Another way to think about it is we could write the equation y is equal to something times x. The number that we multiply x by to get y is our constant of proportionality. We’ve seen in all of these situations this should be true for any point on this line. You give the x, you multiply it by 3, you get your y.

So the relationship here is y is equal to 3x, so 3 is our constant of proportionality.

7 Tips for Motivating Students During Distance Learning
Would You Fight For Your Country?

More Articles

View All
The History of Not Forgotten - Smarter Every Day 269
Hello. Hello. Hello. Hey, it’s me Destin. Welcome back to Smarter Every Day. So every year I like to make a video about Not Forgotten, which is a Peruvian orphanage I work with. This year’s a little different. I usually make one to update you on the progr…
How To Become A Metaverse Millionaire In ONE Year (My Plan)
The best way to understand the metaverse is to experience it yourself. Alright, so let’s talk about the metaverse because this could be big, not only as a way to make a lot of money but also in terms of how all of our future experiences could be right her…
The Freaky Truth Of 1¢ Shiba Inu
What’s up, Grandma’s guys? Here, so I’ll admit I was not planning on making this video. But after getting hundreds of comments, DMs, emails, letters, and smoke signals asking for me to talk about the latest investment craze of Shiba Inu, I had to take a l…
Warren Buffett Just Sold $100 Billion Worth of Stock.
Uh, this question is from Johan Halen, who writes, “You’re sitting on $168 billion of cash, which you told us today is now more than $182 billion.” His questions are: one, what is Buffett waiting for? And two, why not at least deploy some of it? Well, I …
Crawling Down A Torpedo Tube -US NAVY Nuclear Submarine - Smarter Every Day 241
Hey, it’s me, Destin. Welcome back to Smarter Every Day. We’re right in the middle of a deep dive here on Smarter Every Day into nuclear submarines. We’re investigating all these different things about how nuclear submarines work, and we’re trying to lear…
Are Real Estate Prices about to Collapse?
What’s up guys, it’s Graham here. So for anyone who’s seen my previous videos, you know there’s very few things I love more than iced coffee, homemade avocado toast, and telling everyone to smash that like button if you haven’t done that already for the Y…