# How does rate of change relate to slope?

##### 1 Answer

As below.

#### Explanation:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line.

The vertical change between two points is called the rise, and the horizontal change is called the run.

The slope equals the rise divided by the run: .

This simple equation is called the slope formula.

If

The instantaneous rate of change, or derivative, can be written as dy/dx, and it is a function that tells you the instantaneous rate of change at any point.

. For example, if x = 1, then the instantaneous rate of change is 6.

Rate of Change Formula helps us to calculate the slope of a line if the coordinates of the points on the line are given. ... If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

Hope this helps.