# Write an equation in standard form using only integers

When Y is equal to zero, X is eight. And to go from zero to 4.

## How to put a linear equation into standard form

And it's slope would be M. Slope- intercept. And we're left with 16Y is equal to So if you start with 9X, let me do that in yellow. And that is standard form. So let me, oops, though I was using the tool that would draw a straight line. So how do we do that? Now what about the y-intercept? We get Y is equal to 72 over It is a very useful skill that will come in handy later in the year. However, for our class, we will clear the fractions. So let's do that. Standard 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.

So how do we do that? So your slope, once you've figured this out, you could say, "Okay, this is going to be "change in Y, 4. We either use these two points, it didn't just jump immediately out of this, although you might see a little bit of a pattern of what's going on here.

Standard form linear equations Video transcript - [Voiceover] We've already looked at several ways of writing linear equations.

Here, the coefficient of the x-term is a positive integers and all other values are integers, so we are done. If we looked at slope-intercept form, the y-intercept just kinda jumps out at you. And so we could solve, we could solve that.

So let's give a tangible example here. And that is standard form.

## Equation of a line in standard form

That is equal to, let's see, they're both divisible by eight, so that's nine over two. Again, start by moving the x-term to the left. Point-slope form. And it wasn't too hard to figure out the y-intercept either. So let's give a tangible example here. Or we could say it's 4. We've also seen that you can also express things in point-slope form. So the line will look something like that. You could use these two points, you could use the x and y-intercepts as two points and figure out the slope from there. It was very easy to figure out the x-intercept from standard form. At point-slope form, neither the x nor the y-intercept kind of jump out at you.

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