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

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