Arithmetic Course/Number Operation/Gradient

Gradient

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

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

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