Tilt

Slope

So that tells us, essentially, what the two asymptotes are.

And as we go outside, our gradient becomes larger and larger.

And here's the point of that.

What can I do?

It downloads right to the phone.

This has a y intercept also at 3, right there.

We could immediately say, OK, the y intercept is 2.

But what is the slope of that tangent line?

It doesn't change the inclination of the line.

I'm at an angle.

So that is the slope of this secant

The line just barely touches it.

Whereas, the outer ones remain more or less fixed on the right it's the opposite.

So that's the same thing as y equals x plus one.

Now I've been showing you what happens to the slope.

And our y changed by 1

But we're not sloping we're not moving up as quickly as when we had y equals 2x. y equals 2x looked something like this.

Right there.

Because a line has the slope is consistent the whole way through it.

But it's not sloping downward that fast.

Well, a couple of ways to think about it.

And just to get an intuition for what that means

So this is my y axis, this is my x axis, and I want to know the slope at the point x is equal to 3.

Let me pick a slightly thinner color, and we'll get started.

For every one that we go down, we go over two.

And I'll switch colors just to ease the monotony.

You can just set this equal to 0 and it's equal to 6.

And I'm going to go into some more detail.

Derives a gradient of Y.

When we plot velocity (or the magnitude of velocity) relative to time the slope of that line is the acceleration and since we're assuming the acceleration is constant we have a constant slope so we have just a line here, we don't have a curve

Positive values create a foward slant, negative values create a negative slant.

You really just have to know that it is tilted, and right now it is tilted at an angle of 23,4 .

Notice y equals zero, x plus one.

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

The slope is different at every point along the curve.

At 0 comma 3.

And if you want a little review of algebra, this epsilon is actually going to be the slope of that line.

So every time x increases 1, z will increase by 0.7.

Or you could say the difference in y over difference in x.

The first one was introduced by Hubble, and that's

It actually tilts.

So that should be the change in x, delta x.

Looks like the current line's slope is a little too high.