It approaches a horizontal line
You cannot: the slope is not defined.
A line with slope of zero is horizontal. A line with no slope is vertical because slope is undefined on a vertical line.
The lines below are perpendicular. If the slope of the green line is -1, what is the slope of the red line?
If a line has a slope m then a line perpendicular to it has a slope -1/m ( negative inverse). For example if a line has slope positive 2, its perpendicular has slope -1/2
To find the slope of a perpendicular line, take the negative reciprocal of the slope of the given line. (Flip the top and bottom of the fraction and change the sign.) The slope of 3 can be written as 3/1. The slope of a line that is perpendicular is -1/3.
The line rotates anti-clockwise, from a horizontal to a vertical position.
What happens to a line as its slope is incrementally decreased from 1 to zero
The slope of a line doesn't change if you zoom in or out.
It rotated the line about the point of intersection with the y-axis.
You cannot: the slope is not defined.
it gets larger
The coefficient of x changes as the slope changes.
it goes down
The angle that the line makes with the axes changes.
As the slope gets smaller and smaller the line gets flatter and flatter (or more horizontal).
It Gets Flatter!
The line becomes more and more level (horizontal).