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As the line approaches a horizontal position, the slope, or steepness, of the line decreases. This means that for a given change in the horizontal direction (x-axis), the change in the vertical direction (y-axis) becomes smaller. Eventually, if the line becomes completely horizontal, the slope becomes zero, indicating no vertical change regardless of horizontal movement.
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What happens to the slope when a line gets close to horizontal?
It gets closer to 0.
What happens to the slop when the line gets close to the horizontal?
When a line approaches a horizontal orientation, its slope approaches zero. This means that for any change in the x-axis, there is little to no change in the y-axis, indicating a flat or nearly flat relationship between the two variables. As the line gets closer to being perfectly horizontal, the slope becomes exactly zero, signifying no vertical change regardless of horizontal movement.
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).
What happens to the slope when a line with positive slope gets closer to vertical?
As a line with a positive slope gets closer to vertical, its slope value increases and approaches infinity. The slope is defined as the rise over run; as the run (horizontal change) approaches zero, the slope becomes steeper. Ultimately, a perfectly vertical line has an undefined slope, as it cannot be expressed as a ratio of rise to run.
What happens to the slope when a line gets close to horizontal?
It gets closer to 0.
What happens to the slop when the line gets close to the horizontal?
When a line approaches a horizontal orientation, its slope approaches zero. This means that for any change in the x-axis, there is little to no change in the y-axis, indicating a flat or nearly flat relationship between the two variables. As the line gets closer to being perfectly horizontal, the slope becomes exactly zero, signifying no vertical change regardless of horizontal movement.
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).
What happens to the slope when a line with positive slope gets closer to vertical?
As a line with a positive slope gets closer to vertical, its slope value increases and approaches infinity. The slope is defined as the rise over run; as the run (horizontal change) approaches zero, the slope becomes steeper. Ultimately, a perfectly vertical line has an undefined slope, as it cannot be expressed as a ratio of rise to run.
What is a line that a graph gets increasingly closer to but never touches?
A line that a graph gets increasingly closer to but never touches is known as an asymptote. Asymptotes can be horizontal, vertical, or oblique, depending on the behavior of the graph as it approaches infinity or a particular point. For example, the horizontal line (y = 0) serves as an asymptote for the function (y = \frac{1}{x}) as (x) approaches infinity.
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
