So we have slope intercept.

My favorite is slope intercept form, because it tells you exactly the slope and an intercept.

This is the slope intercept form where m is the slope and b is the y intercept.

That's why it's called slope intercept.

This is in slope intercept form.

You have the slope and the intercept.

That's why it's called slope intercept form.

Now we're almost at slope intercept form.

So let's do slope intercept in orange.

This is already in slope intercept form.

So this is in neither point slope nor in slope intercept form.

And the best way I know to figure out the slope and y intercept is to put it into slope intercept form.

That's the y intercept and the slope is 2.

We have an equation written in slope intercept form.

We could even write it in slope intercept form.

Welcome to the presentation on slope and y intercept.

So what's the slope and what's the y intercept?

Find the equation of this line in point slope form, slope intercept form, standard form.

We know the slope and we know the y intercept.

The slope is 3, the y intercept is negative 8.

Slope intercept form is y is equal to mx plus b, where once again m is the slope, b is the y intercept where does the

So line A, the slope is pretty easy to figure out, it's already in slope intercept form, its slope is 3.

We are now gonna do some slope and y intercept problems as well. y intercept problems as well.

So there you have it, that is our slope intercept form, mx plus b, that's our y intercept.

What is the equation of this line in slope intercept form?

And this is different from y or from slope intercept form.

Well you would have said, this is the slope y intercept.

Where m is the slope and b is the y intercept.

No, it still seems like my slope see the y intercept,

Let's put this first equation up here in slope intercept form and see if it has a different slope or a different intercept, or maybe it's the same line.

Slope is equal to 3, and then 5 is the y intercept.

So they haven't given us the slope or the y intercept explicitly.

And you might remember that slope intercept form were equations of the form, y is equal to mx plus b we did this in the last video where m is the slope, b is the intercept, the y intercept.

And the easiest way to do this, we already have this second equation here, it's already in slope intercept form, we know the slope is 2, the y intercept is 8.

And just as a bit of a review, slope intercept form is a form y is equal to mx plus b, where m is the slope and b is the intercept.

This presentation isn't going to teach you how to solve for slope and y intercept, but hopefully it will give you a good intuition of what slope and y intercept is.

Now, as I change the slope and the y intercept for this graph,

So any line can be represented in slope intercept form as y mx b.

But it's kind of useless in trying to figure out slope and y intercept.

What are the meanings of the slope and the y intercept of this problem?

So just algebraically manipulating it, we were able to put it into slope intercept form.

This is the y intercept and we see that the slope is negative one two.

So here, immediately, this would be very easy to put it in the slope intercept form.

We've had slope intercept, which is of the form, y is equal to mx plus b.

Let's start with some equations in standard form and figure out their slope and y intercept.