slope can be represented by any variables, such that, the variable representing the slope is defined. by convention, mathematicians and mathematics books authors used and are using "m" as the variable for slope. (recommended to have further historical research on this matter)
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The slope of a graph is a measure of the rate at which it rises. It is measured as the "rise"/"run" which is the ratio of the increase in height for each unit move in the horizontal direction. The slope of a line going from bottom left to top right is positive. "M" stood for the Modulus of slope.
If the slope of a line is m then the slope of an altitude to that line is -1/m.
Given a straight line with slope m and a point (p,q) on the line, the point-slope formula of the line is (y - q) = m(x - p) It is used to represent a straight line in the Cartesian plane. This allows techniques of algebra to be used in solving problems in geometry.
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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