Now sometimes when you see a proportion like this, sometimes you'll say oh you could cross multiply.

So, I'm gonna draw a diagonal

So how do you think about this graphically?

It crosses threeoneleft.

Example curves tool

i can see that!

So this is my three dimensional plane.

They also told us the y intercept at 0, minus 2.

'Scramble'.

At the intersection.

That's the same thing as saying, where does f of x interject intersect the x axis?

Now you can also have other forms of lines and line segments that interact in interesting ways with the circle.

And notice we're getting the exact same value that we got with cross multiplying.

So this line is going to look like this.

The idea is to use gradient descent.

So these two lines or these two equations, you could even say, intersect at the point x is m inus six and y is plus 6.

You call this a diplomatic solution?

Well, let's see. The y intercept is right here.

Then find some way to contact Enterprise.

Vine and yucca they're all going to cross there.

We meet at a crossroads in history.

Well, if there's a point that's on both lines, or essentially, a point of intersection of the lines.

So the equation, the line will look like this.

Because it will never, a hyperbola will never cross the asymptotes.

Picture a car coming from here that wishes to go over here.

Then we can drive with GPS in lanes.

We know you're in there. Cover that intersection.

King Willow now.

I want you to look up

So this one right here is a function.

The alternate interior angles are congruent

So it's likely that the line, in terms of learning, is pretty flat.

You with me?

Well, you can pause it and watch it again if you have.

Traffic on runway fourright. pull up.

Right?

You draw a vertical line right there.

It's the main intersection. We could head him off that way.

Swoop and cross.

Now, answering the second level, meta level question, which is the best strategy?

Cluster measurements can be folded into the same type of statistical analysis, and, beautiful enough, their air ellipsis cross exactly where all other methods cross.

But the other two are somewhat questionable.

This would be intersection of the plane and the bottom cone.

How do they call him her their friends? Chris.

Okay, I'm coming up on the intersection