Arithmetic Course/Number Operation/Gradient

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Gradient[edit]

A gradient is the rate of change of one variable compared to another variable.

If there is a change in y

\delta y = y - y_1

and there is a change in x

\delta x = x - x_1

Gradient , m

m = \frac{\delta y}{\delta x} = \frac{y - y_1}{x - x_1}
\delta y = m \delta x = m (x - x_1)


Example[edit]

two points on a straight line (2,3), (3,4) then the gradient of the straight line is

m = \frac{4-3}{3-2}