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.
It gets closer to 0.
Line turns towards x - axis and angle between positive x direction and line gets reduced
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.
As the slope gets smaller and smaller the line gets flatter and flatter (or more horizontal).
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.
It gets closer to 0.
Line turns towards x - axis and angle between positive x direction and line gets reduced
As the slope gets smaller and smaller the line gets flatter and flatter (or more horizontal).
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.
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.
Asymptote
Asymptote.
asymptote
asymptote
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.
If dy = 0 then you have a horizontal line.
It approaches a horizontal line