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
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 ![]() |