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— [Voice over] We've already looked at several ways of writing linear equations. You could write it in slope-intercept form, where it would be of the form of Y is equal to MX plus B, where M and B are constants. M is the coefficient on this MX term over here and M would represent the slope. And then from B you're able to figure out the y-intercept. The Y, you're able to figure out the y-intercept from this. Literally the graph that represents the XY pairs that satisfy this equation, it would intersect the y-axis at the point X equals zero, Y is equal to B. And its slope would be M. We've already seen that multiple times. We've also seen that you can also express things in point-slope form. So let me make it clear. This is slope-intercept. Slope- intercept. And these are just different ways of writing the same equations. You can algebraically manipulate from one to the other. Another way is point-slope. Point-slope form. And in point-slope form, if you know that some, if you know that there's an equation where the line that represents the solutions of that equation has a slope M. Slope is equal to M. And if you know that X equals, X equals A, Y equals B, satisfies that equation, then in point-slope form you can express the equation as Y minus B is equal to M times X minus A. This is point-slope form, and we do videos on that. But what I really want to get into in this video is another form. And it's a form that you might have already seen. And that is standard form. Standard. Standard form. And standard form takes the shape of AX plus BY is equal to C, where A, B, and C are integers. And what I want to do in this video, like we've done in the ones on point-slope and slope-intercept is get an appreciation for what is standard form good at, and what is standard form less good at? So let's give a tangible example here. So let's say I have the linear equation, it's in standard form, 9X plus 16Y is equal to 72. And we wanted to graph this. So the thing that standard form is perfect for is figuring out, not just the y-intercept, y-intercept is pretty good if you're using slope-intercept form, but we can find out the y-intercept pretty clearly from standard form and the x-intercept. The x-intercept isn't so easy to figure out from these other forms over here. So how do we do that? Well to figure out the x and y-intercepts, let's just set up a little table here, X comma Y, and so the x-intercept is going to happen when Y is equal to zero. And the y-intercept is going to happen when X is equal to zero. So when Y is zero, what is X? So when Y is zero, 16 times zero is zero, that term disappears, and you're left with 9X is equal to 72. So if nine times X is 72, 72 divided by nine is eight. So X would be equal to eight. So once again, that was pretty easy to figure out. This term goes away, and you just have to say hey, nine times X is 72, X would be eight. When Y is equal to zero, X is eight. So the point, let's see, Y is zero, X is one, two, three, four,...

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What is algebra form and function?

Algebra form and function is a mathematical concept that deals with manipulating symbols and equations to solve problems.

Who is required to file algebra form and function?

Students learning algebra are required to understand and use algebraic form and function in their studies.

How to fill out algebra form and function?

To fill out algebra form and function, one must understand the basic rules and principles of algebra and apply them to solve equations and problems.

What is the purpose of algebra form and function?

The purpose of algebra form and function is to help in solving mathematical problems and to understand how different variables are related.

What information must be reported on algebra form and function?

Algebra form and function usually require reporting of variables, coefficients, and equations to find the unknown values.