The students could then measure the slope.

然后，学生们可以测量斜率。

The gradient of the code equals delta Y over delta X, right.

斜率等于△y/△x，好。

Just like we study slope independently of other factors.

就像我们独立于其他因素研究斜率一样。

It's half the slope of the price.

学生：这是价格斜率的一半。

Class, what  is the slope of a position versus time graph?

学们，位置与时间图的斜率是多？

Well, we know the slope of a position versus  time graph is velocity.

嗯, 我们知道位置与时间图的斜率是度。

This lines sloping down into the right has a negative slope.

这条向右倾斜的具有负斜率。

If that's true, then the slopes of their diagonal sides should be the same.

如果那是真的，那么它们的对角边的斜率应该相。

And that factor is angular momentum.

斜率，那个因素就是角动量。

Is the slope (b1) significantly different from 0?

斜率 (b1) 与 0 是否显着不？

For a lesson about slope, or direction of a line in algebra, the chatbot suggested students build ramps out of cardboard.

在一堂关于斜率（即性代数）的课上，聊天机器人建议学生们用纸板搭建斜坡。

That means the slope on the position versus time graph decreases.

这意味着位置与时间图上的斜率减小。

Well look, here I have a line of slope -2.

好吧, 看, 这里我有一条斜率-2的。

Now I was only able to represent something that goes through the origin with this slope.

现在我只能用这个斜率来表示穿过原点的东西。

So you can almost view that this vector kind of represented its slope.

所以你几乎可以认为这个矢量代表它的斜率。

The angle between the force of gravity and the component pointing into the ramp is called theta.

重力与元素之间的角度 斜率内的向量称为 theta。

For  velocity versus time, the slope is change in velocity over change in time, which  means the slope is acceleration.

对于度与时间的关系，斜率是度随时间变化的变化，这意味着斜率是加度。

So we can literally find the slope of that line and then the the y intercept, the b there.

所以我们可以从字面上找到那条的斜率，然后是 y 截距，b 在那里。

What if we wanted to represent other lines that had that slope?

如果我们想要表示其他具有该斜率的条呢?

This is the slope on the line, and this is the y-intercept.

这是直的斜率，这是 y 轴截距。