How to read linear relation graphs

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Subscribe Now to get more: http://www.youtube.com/c/StudyPug?sub... • Watch More Free Math Help Videos at / studypug • StudyPug focuses on real, in-depth examples, the kind you see on your exams or at the back of your textbook chapter! The questions can be tricky; we show you how to solve it. • Go to https://www.StudyPug.com and try our complete High School Math help! You’ve got nothing to lose and a better grade to gain! • • === • Hi and welcome to this question right here. So we got an online clothing company can earn $4 for every t-shirt they sell. We've got a graph right here. It says how many can the company earn by selling 55 t-shirts online, right? We got a graph here trying to tell us the relationship between the profit and the number of t-shirts they sold, right? So graphically, if you want to solve it graphically, you just have to focus on the number they give you, 55 t-shirts. So you go down right here which is where the t-shirts are. You go. . . okay it is kind of hard to figure out 55 is but half way of that is 50 and maybe another half will be 55, approximately. If you're going to do a little line going up and once you hit the graph, you're going to have to go straight across and you get yourself approximately, give or take, halfway between 200 and 250. • I would say it's approximately, if I solved graphically, it's about $225, okay? But now if you want to really figure out the answer to this question, you will need to generate an equation. Now it's a linear equation. It's a straight line. Every time, in math, if you see a straight line, the equation is always called y equals mx plus b, okay? To figure out the equation, you just have to think about his. Where is my m and where is my b? Remember the b is actually known as the y-intercept. But if you just don't even think about that, just don't even think about that. Just think about the question itself. You're earning $4 for every t-shirt. The money they're going to make, let's call it the profit right here, the profit. Which is the money that you're going to make, it simply equals to every $4 for every t-shirt, right? So let's just call that x. That's it. That is the linear equation right here. See the y is the profit which is the y axis and the m is the 4 which we called it a slope. • You'll learn about that in the future. And the x is the number of items that you're selling which is the number of clothes, the t-shirts. The b here is kind of tricky. It actually represents something that we call the y-intercept. Well in this case the y-intercept should be a zero, okay? What happens is that your y is just equal to 4x. So this is the equation. This is the linear equation for this line right here. The amount of profit, the money you are going to make, is equal to $4 times every t-shirt that you make, that you sold. So what we're going to do is we're going to punch in the 55 right here to figure out how much money that we're going to make if I sell 55 t-shirts. So you grab the 55, you times by four. • You get yourself $220 and that is very close to our approximation. Let's check out our next problem for this one. • • === • Follow Us • GOOGLE+ https://plus.google.com/+StudyPug • FACEBOOK / studypug • TWITTER / studypug

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