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Q: What happens to the sloe when the line gets closer to the horizontal?
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What happens to the slope when a line gets close to horizontal?

It gets closer to 0.


What happens as the absolute value of the slope gets smaller the graph of a line gets?

Line turns towards x - axis and angle between positive x direction and line gets reduced


What happens to a line when the slope is a smaller and smaller?

As the slope gets smaller and smaller the line gets flatter and flatter (or more horizontal).


Why two tail of normal distribution do not touch the horizontal axis?

The domain of the Normal distribution is the whole of the real line. As a result the horizontal axis is asymptotic to the Normal distribution curve. The curve gets closer and closer to the axis but never, ever reaches it.


Why is it okay for a graph to cross one of its's horizontal asymptotes?

There is nothing in the definition of "asymptote" that forbids a graph to cross its asymptote. The only requirement for a line to be an asymptote is that if one of the coordinates gets larger and larger, the graph gets closer and closer to the asymptote. The "closer and closer" part is defined via limits.


What is a line that a graph gets closer and closer to but does not touch?

Asymptote


A line that a function gets closer and closer to but does not reach is called?

Asymptote.


What is the line that a function gets closer and closer to but does not reach is called a what?

asymptote


A line is an for a function if the graph of the function gets closer and closer to touching the line but never reaches it?

asymptote


When a graph make a horizontal line what is it?

What do you mean? As in if you connect two points that make a horizontal line? Are you trying to figure out the Slope? The slope of a horizontal line is 0. And the slope of a vertical line is undifined. If that's what you were asking. Or if you were asking plainly what it is when that happens, it's just a horizontal line.


What happens when Dy 0?

If dy = 0 then you have a horizontal line.


What happens to a line as its slope is incrementally decreased from one to zero?

It approaches a horizontal line