The slope of a line in the plane is defined as the rise over the
run, m = Δy/Δx.
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 (in the simplest of terms) the measurement of a
line, and 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 (x_{1},y_{1}) and (x_{2},y_{2})
on a line, the slope m of the line is
(Our solved
example in mathguru.com uses this concept)
Definition
Slope
illustrated for y = (3/2)
x − 1.
The slope of a line in the plane containing
the x and y axes is generally represented by
the letter m, and is defined as the change in the y coordinate
divided by the corresponding change in the x coordinate,
between two distinct points on the line. This is described by the following
equation:
(The delta symbol, "Δ", is
commonly used in mathematics to mean "difference" or
"change".)
Given two points (x_{1},y_{1}) and (x_{2},y_{2}),
the change in x from one to the other is x_{2} − x_{1} (run), while the change in yis y_{2} − y_{1} (rise). Substituting both
quantities into the above equation obtains the following:
http://en.wikipedia.org/wiki/Slope
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