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