5 answers

If the equation y a bX can be written in linear form Y = A+ BX, what are Y,X,A, B?

Question:

If the equation y a bX can be written in linear form Y = A+ BX, what are Y,X,A, B?


Answers

Fill in the blanks. $A x+B y=C$ is the ________ form of a linear equation.

.

So let's say an equation looks like this where it has a X plus B y, and that is equal to some members. Seat for A, B and C are all just numbers we called the standard form, so he set a standard, and all the variables are on one side and we'll just the numbers on the other side. It's called Standard because it's well, I say it's really easy to read. You have the X and the Y on one side, and you have the number on the other side, so well, when you're looking at it, you can see Oh oh, let's look at this. What's in front? The X eight.

Now what's in front of why a B. It's home one side, so it's very easy to interpret, and you can see their relations to.

Okay, So it says to what linear function of X is a linear equation? A X plus B, Y equals C correspond. And they told us to make sure that be was not equal to zero. So we'll talk about that later. So what does this correspond? Well, this scenario is it really, really helps you find your intercepts very quickly. If you consider your Y intercept, that's going to be when X equals zero.

And then if you want to know your X intercept, you make y equal to zero. So very quickly you can see um that those have a ratio in terms of finding those intercepts. Now, the reason why they said um make sure that B is not equal to zero. If B equals zero, then we just have a vertical line because we're just going to have X equals C over A. So at the 00.0 over A we'll just have that vertical line..

It's plus B way, it's equal to see where B is not. A word to zero is the standard form off a linear exorcism so sore for by subject? A. Explain both sides vigor. B Y is equal toe minus a X plus e. Pretend this into slope intercept form.

It means we have to isolate by they get by is equal to minus 80 whereby be multiplied by X plus e d, whereby b to get that slope into several form. We compare this with my equal toe M X plus B. We get the slope off equals and one is equal to minus 80. Whereby B and the vie intercept. It's zero coma C d, whereby b..

We need to solve for why, in the standard from the standard form of a linear equation, So we're gonna subtract A. X from both sides, and we get B. Y is equal to negative A. X plus C. Then we're going to divide everything by B.

And we get Y is equal to negative A over B times X plus C over B..

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