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

斜率等于△y/△x，好了。

Just like we study slope independently of other factors.

就像我们独立于其他因素研究斜率样。

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

如果这是真的， 他们斜边的斜率 就应该是样的。

The students could then measure the slope.

然后，学生们可以测量斜率。

You can create something called a rectangular hyperbola, I guess, which has an initial high slope and then reaches an asymptote, but they're equally simple models.

我想， 您可以创称为矩形双曲线的东西，它具有初始高斜率， 然后达到渐近线，但它们同样是简单的模型。

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

在堂于斜率（即线性代数）的课上，聊天机器人议学生们用纸板搭斜坡。

The lower the value of this slope, the bluer the galaxy.

此斜率值低，星系颜。

And it happens, there's a really steep incline where that temperature just increases like that.

而且事实上，有个非常陡峭的升温斜率，温度就这样迅速上升。

This expression right here would be a surface, I guess you could view it as a surface in three dimensions, where for any m and b is going to be a point on that surface that represents the squared error for that line.

这个表达式可以看作是个表面，在三维空间中，对于任意的斜率m和截距b，都会在这个表面上有个点，代表该直线的平方误差。

And what we can do is we can measure the slope of this line and it would tell us the velocity at that point which is the same throughout that whole time.

我们可以测量这条线的斜率，它会告诉我们那个点的速度，而这个速度在整个时间段内是相同的。

This pink line has to drop off from a all the way to c. How far along do I have to go drop off a - c when I have slope -2b?

这条粉红线必须从 a 直下降到 c。当斜率为 -2b 时，我必须走多远才能从 a 下降到 c？

But if we're then thinking about it more as this sort of linear response, then Is the comparison how steep is the slope and what is the intercept of the slope?

但如果我们更倾向于将其视为线性响应，那么比较的焦点是否在于斜率有多陡以及斜线的截距是多少呢？

Even though they all have the same amplitude, the ones with higher frequency look like they have a greater amplitude because the slope of the waves is steeper.

尽管它们都具有相同的振幅，但频率较高的波看起来振幅更大， 因为波的斜率更陡。

The key is that this square-root-of-the-masses vector points in the same direction as our collision line, since its rise over run is sqrt(m2) over sqrt(m1).

键在于这个质量平方根向量的方向与我们的碰撞线方向相同，因为它的斜率是sqrt(m2)除以sqrt(m1)。

On the far left of the graph, the slope is its greatest, and the slope continuously decreases The further you go to the right.

在图表的最左侧， 斜率最大，并且随着向右移动， 斜率持续减小。

The initial velocity of the object is positive, that means the initial  slope of the position versus time graph should be positive.

物体的初速度为正，这意味着位置与时间图的初始斜率应该为正。

In other words, You might think, well, as you get better and better, you have a slope of one.

换句话说，你可能会认为，随着你变得来好，其斜率会是1。

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

这条向右倾斜的线具有负斜率。

Is the slope (b1) significantly different from 0?

斜率 (b1) 与 0 是否显着不同？

The triangle soldier's diagonal, however, goes up 3 and over 8, making its slope three eights, or 0.375.

然而，三角形士兵的对角线上升 3 并超过 8，使其斜率变为八分之三，即 0.375。