Slopes in The Real World

 Definition of a Slope:

 

 

In mathematics, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline.

The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line is

m=\frac{y_2-y_1}{x_2-x_1}.

POSITIVE SLOPE (increasing) 

POSITIVE SLOPE 

NEGATIVE SLOPE (decreasing) 

NEGATIVE SLOPE 

ZERO SLOPE (horizontal) 

ZERO SLOPE 

UNDEFINED SLOPE (vertical) 

UNDEFINED SLOPE 

STEEPER SLOPE 

STEEPER SLOPE 

FLATTER SLOPE 

FLATTER SLOPE 

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