iN PHYSICAL POINT of view it is the measure of slantness of a line.
It is the tan of the acute angle it makes with the x-axis.
This is the general and basic expression for slope in maths.Thou there are other expressions.
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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
the formula for slope is y=mx+b, a horizontal line has the slope of zero and the slope of a vertical line can be answered as undefined
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.